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Finding the Fourth Proportional to 48,206.40, 72,296.80 and 14,926.40

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Solution

The fourth proportional to 48,206.40, 72,296.80 and 14,926.40 is: 22,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206.40 : 72,296.80 = 14,926.40 : x
  2. Step 2: Convert to fraction form
    48,206.40/72,296.80 = 14,926.40/x
  3. Step 3: Cross multiply
    48,206.40x = 72,296.80 × 14,926.40
  4. Step 4: Simplify right side
    48,206.40x = 1,079,130,955.52
  5. Step 5: Solve for x
    x = 1,079,130,955.52/48,206.40
  6. Step 6: Final answer
    x = 22,385.64

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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.