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Finding the Fourth Proportional to 57,602.80, 86,316.54 and 42,742

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Solution

The fourth proportional to 57,602.80, 86,316.54 and 42,742 is: 64,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602.80 : 86,316.54 = 42,742 : x
  2. Step 2: Convert to fraction form
    57,602.80/86,316.54 = 42,742/x
  3. Step 3: Cross multiply
    57,602.80x = 86,316.54 × 42,742
  4. Step 4: Simplify right side
    57,602.80x = 3,689,341,552.68
  5. Step 5: Solve for x
    x = 3,689,341,552.68/57,602.80
  6. Step 6: Final answer
    x = 64,047.96

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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.