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Finding the Fourth Proportional to 42,478, 63,746.25 and 14,776

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Solution

The fourth proportional to 42,478, 63,746.25 and 14,776 is: 22,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,478 : 63,746.25 = 14,776 : x
  2. Step 2: Convert to fraction form
    42,478/63,746.25 = 14,776/x
  3. Step 3: Cross multiply
    42,478x = 63,746.25 × 14,776
  4. Step 4: Simplify right side
    42,478x = 941,914,590
  5. Step 5: Solve for x
    x = 941,914,590/42,478
  6. Step 6: Final answer
    x = 22,174.17

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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.