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Finding the Fourth Proportional to 59,780.90, 82,494.48 and 34,285.95

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Solution

The fourth proportional to 59,780.90, 82,494.48 and 34,285.95 is: 47,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780.90 : 82,494.48 = 34,285.95 : x
  2. Step 2: Convert to fraction form
    59,780.90/82,494.48 = 34,285.95/x
  3. Step 3: Cross multiply
    59,780.90x = 82,494.48 × 34,285.95
  4. Step 4: Simplify right side
    59,780.90x = 2,828,401,616.56
  5. Step 5: Solve for x
    x = 2,828,401,616.56/59,780.90
  6. Step 6: Final answer
    x = 47,312.80

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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.