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Finding the Fourth Proportional to 48,632.16, 72,948.96 and 13,572

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Solution

The fourth proportional to 48,632.16, 72,948.96 and 13,572 is: 20,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632.16 : 72,948.96 = 13,572 : x
  2. Step 2: Convert to fraction form
    48,632.16/72,948.96 = 13,572/x
  3. Step 3: Cross multiply
    48,632.16x = 72,948.96 × 13,572
  4. Step 4: Simplify right side
    48,632.16x = 990,063,285.12
  5. Step 5: Solve for x
    x = 990,063,285.12/48,632.16
  6. Step 6: Final answer
    x = 20,358.20

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