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Finding the Fourth Proportional to 42,102.29, 63,146.25 and 14,019.16

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Solution

The fourth proportional to 42,102.29, 63,146.25 and 14,019.16 is: 21,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.29 : 63,146.25 = 14,019.16 : x
  2. Step 2: Convert to fraction form
    42,102.29/63,146.25 = 14,019.16/x
  3. Step 3: Cross multiply
    42,102.29x = 63,146.25 × 14,019.16
  4. Step 4: Simplify right side
    42,102.29x = 885,257,101.47
  5. Step 5: Solve for x
    x = 885,257,101.47/42,102.29
  6. Step 6: Final answer
    x = 21,026.34

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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.