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Finding the Fourth Proportional to 62,216, 85,828.48 and 42,079.92

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Solution

The fourth proportional to 62,216, 85,828.48 and 42,079.92 is: 58,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,216 : 85,828.48 = 42,079.92 : x
  2. Step 2: Convert to fraction form
    62,216/85,828.48 = 42,079.92/x
  3. Step 3: Cross multiply
    62,216x = 85,828.48 × 42,079.92
  4. Step 4: Simplify right side
    62,216x = 3,611,655,572.12
  5. Step 5: Solve for x
    x = 3,611,655,572.12/62,216
  6. Step 6: Final answer
    x = 58,050.27

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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.