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Finding the Fourth Proportional to 74,281.32, 102,497.40 and 42,444

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Solution

The fourth proportional to 74,281.32, 102,497.40 and 42,444 is: 58,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,281.32 : 102,497.40 = 42,444 : x
  2. Step 2: Convert to fraction form
    74,281.32/102,497.40 = 42,444/x
  3. Step 3: Cross multiply
    74,281.32x = 102,497.40 × 42,444
  4. Step 4: Simplify right side
    74,281.32x = 4,350,399,645.60
  5. Step 5: Solve for x
    x = 4,350,399,645.60/74,281.32
  6. Step 6: Final answer
    x = 58,566.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.