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Finding the Fourth Proportional to 85,716.72, 118,283.15 and 47,473.52

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Solution

The fourth proportional to 85,716.72, 118,283.15 and 47,473.52 is: 65,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716.72 : 118,283.15 = 47,473.52 : x
  2. Step 2: Convert to fraction form
    85,716.72/118,283.15 = 47,473.52/x
  3. Step 3: Cross multiply
    85,716.72x = 118,283.15 × 47,473.52
  4. Step 4: Simplify right side
    85,716.72x = 5,615,316,658.40
  5. Step 5: Solve for x
    x = 5,615,316,658.40/85,716.72
  6. Step 6: Final answer
    x = 65,510.17

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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.