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Finding the Fourth Proportional to 62,189.68, 85,754 and 42,011.52

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Solution

The fourth proportional to 62,189.68, 85,754 and 42,011.52 is: 57,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,189.68 : 85,754 = 42,011.52 : x
  2. Step 2: Convert to fraction form
    62,189.68/85,754 = 42,011.52/x
  3. Step 3: Cross multiply
    62,189.68x = 85,754 × 42,011.52
  4. Step 4: Simplify right side
    62,189.68x = 3,602,655,886.08
  5. Step 5: Solve for x
    x = 3,602,655,886.08/62,189.68
  6. Step 6: Final answer
    x = 57,930.12

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Why These Related Problems?

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