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Finding the Fourth Proportional to 42,427.78, 63,641.70 and 14,725.78

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Solution

The fourth proportional to 42,427.78, 63,641.70 and 14,725.78 is: 22,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427.78 : 63,641.70 = 14,725.78 : x
  2. Step 2: Convert to fraction form
    42,427.78/63,641.70 = 14,725.78/x
  3. Step 3: Cross multiply
    42,427.78x = 63,641.70 × 14,725.78
  4. Step 4: Simplify right side
    42,427.78x = 937,173,673.03
  5. Step 5: Solve for x
    x = 937,173,673.03/42,427.78
  6. Step 6: Final answer
    x = 22,088.68

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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.