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Finding the Fourth Proportional to 42,552, 63,857.16 and 14,850

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Solution

The fourth proportional to 42,552, 63,857.16 and 14,850 is: 22,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,552 : 63,857.16 = 14,850 : x
  2. Step 2: Convert to fraction form
    42,552/63,857.16 = 14,850/x
  3. Step 3: Cross multiply
    42,552x = 63,857.16 × 14,850
  4. Step 4: Simplify right side
    42,552x = 948,278,826
  5. Step 5: Solve for x
    x = 948,278,826/42,552
  6. Step 6: Final answer
    x = 22,285.18

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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.