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Finding the Fourth Proportional to 8,047,564.40, 12,069,964.20 and 2,996,274.80

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Solution

The fourth proportional to 8,047,564.40, 12,069,964.20 and 2,996,274.80 is: 4,493,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047,564.40 : 12,069,964.20 = 2,996,274.80 : x
  2. Step 2: Convert to fraction form
    8,047,564.40/12,069,964.20 = 2,996,274.80/x
  3. Step 3: Cross multiply
    8,047,564.40x = 12,069,964.20 × 2,996,274.80
  4. Step 4: Simplify right side
    8,047,564.40x = 36,164,929,569,362.16
  5. Step 5: Solve for x
    x = 36,164,929,569,362.16/8,047,564.40
  6. Step 6: Final answer
    x = 4,493,897.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.