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Finding the Fourth Proportional to 42,427.95, 63,642.10 and 14,348.15

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Solution

The fourth proportional to 42,427.95, 63,642.10 and 14,348.15 is: 21,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427.95 : 63,642.10 = 14,348.15 : x
  2. Step 2: Convert to fraction form
    42,427.95/63,642.10 = 14,348.15/x
  3. Step 3: Cross multiply
    42,427.95x = 63,642.10 × 14,348.15
  4. Step 4: Simplify right side
    42,427.95x = 913,146,397.12
  5. Step 5: Solve for x
    x = 913,146,397.12/42,427.95
  6. Step 6: Final answer
    x = 21,522.28

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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.