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Finding the Fourth Proportional to 42,778.48, 64,154.64 and 15,070

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Solution

The fourth proportional to 42,778.48, 64,154.64 and 15,070 is: 22,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778.48 : 64,154.64 = 15,070 : x
  2. Step 2: Convert to fraction form
    42,778.48/64,154.64 = 15,070/x
  3. Step 3: Cross multiply
    42,778.48x = 64,154.64 × 15,070
  4. Step 4: Simplify right side
    42,778.48x = 966,810,424.80
  5. Step 5: Solve for x
    x = 966,810,424.80/42,778.48
  6. Step 6: Final answer
    x = 22,600.39

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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.