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Finding the Fourth Proportional to 52,098.60, 71,926.74 and 34,224.78

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Solution

The fourth proportional to 52,098.60, 71,926.74 and 34,224.78 is: 47,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.60 : 71,926.74 = 34,224.78 : x
  2. Step 2: Convert to fraction form
    52,098.60/71,926.74 = 34,224.78/x
  3. Step 3: Cross multiply
    52,098.60x = 71,926.74 × 34,224.78
  4. Step 4: Simplify right side
    52,098.60x = 2,461,676,852.62
  5. Step 5: Solve for x
    x = 2,461,676,852.62/52,098.60
  6. Step 6: Final answer
    x = 47,250.35

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1.5x scale

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.