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Finding the Fourth Proportional to 84,307.52, 116,344.14 and 46,581.50

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Solution

The fourth proportional to 84,307.52, 116,344.14 and 46,581.50 is: 64,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,307.52 : 116,344.14 = 46,581.50 : x
  2. Step 2: Convert to fraction form
    84,307.52/116,344.14 = 46,581.50/x
  3. Step 3: Cross multiply
    84,307.52x = 116,344.14 × 46,581.50
  4. Step 4: Simplify right side
    84,307.52x = 5,419,484,557.41
  5. Step 5: Solve for x
    x = 5,419,484,557.41/84,307.52
  6. Step 6: Final answer
    x = 64,282.34

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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.