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Finding the Fourth Proportional to 83,560, 115,312.80 and 45,834.34

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Solution

The fourth proportional to 83,560, 115,312.80 and 45,834.34 is: 63,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,560 : 115,312.80 = 45,834.34 : x
  2. Step 2: Convert to fraction form
    83,560/115,312.80 = 45,834.34/x
  3. Step 3: Cross multiply
    83,560x = 115,312.80 × 45,834.34
  4. Step 4: Simplify right side
    83,560x = 5,285,286,081.55
  5. Step 5: Solve for x
    x = 5,285,286,081.55/83,560
  6. Step 6: Final answer
    x = 63,251.39

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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.