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Finding the Fourth Proportional to 69,830.52, 96,368.29 and 39,617.11

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Solution

The fourth proportional to 69,830.52, 96,368.29 and 39,617.11 is: 54,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,830.52 : 96,368.29 = 39,617.11 : x
  2. Step 2: Convert to fraction form
    69,830.52/96,368.29 = 39,617.11/x
  3. Step 3: Cross multiply
    69,830.52x = 96,368.29 × 39,617.11
  4. Step 4: Simplify right side
    69,830.52x = 3,817,833,166.86
  5. Step 5: Solve for x
    x = 3,817,833,166.86/69,830.52
  6. Step 6: Final answer
    x = 54,672.85

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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.