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Finding the Fourth Proportional to 48,547.68, 72,728.24 and 29,772.99

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Solution

The fourth proportional to 48,547.68, 72,728.24 and 29,772.99 is: 44,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547.68 : 72,728.24 = 29,772.99 : x
  2. Step 2: Convert to fraction form
    48,547.68/72,728.24 = 29,772.99/x
  3. Step 3: Cross multiply
    48,547.68x = 72,728.24 × 29,772.99
  4. Step 4: Simplify right side
    48,547.68x = 2,165,337,013.37
  5. Step 5: Solve for x
    x = 2,165,337,013.37/48,547.68
  6. Step 6: Final answer
    x = 44,602.28

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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.