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Finding the Fourth Proportional to 34,652.50, 51,985.15 and 10,966.01

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Solution

The fourth proportional to 34,652.50, 51,985.15 and 10,966.01 is: 16,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.50 : 51,985.15 = 10,966.01 : x
  2. Step 2: Convert to fraction form
    34,652.50/51,985.15 = 10,966.01/x
  3. Step 3: Cross multiply
    34,652.50x = 51,985.15 × 10,966.01
  4. Step 4: Simplify right side
    34,652.50x = 570,069,387.41
  5. Step 5: Solve for x
    x = 570,069,387.41/34,652.50
  6. Step 6: Final answer
    x = 16,451.03

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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.