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Finding the Fourth Proportional to 52,841.50, 72,921.81 and 31,624.90

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Solution

The fourth proportional to 52,841.50, 72,921.81 and 31,624.90 is: 43,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,841.50 : 72,921.81 = 31,624.90 : x
  2. Step 2: Convert to fraction form
    52,841.50/72,921.81 = 31,624.90/x
  3. Step 3: Cross multiply
    52,841.50x = 72,921.81 × 31,624.90
  4. Step 4: Simplify right side
    52,841.50x = 2,306,144,949.07
  5. Step 5: Solve for x
    x = 2,306,144,949.07/52,841.50
  6. Step 6: Final answer
    x = 43,642.69

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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.