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Finding the Fourth Proportional to 52,013.80, 78,020.70 and 41,645.80

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Solution

The fourth proportional to 52,013.80, 78,020.70 and 41,645.80 is: 62,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.80 : 78,020.70 = 41,645.80 : x
  2. Step 2: Convert to fraction form
    52,013.80/78,020.70 = 41,645.80/x
  3. Step 3: Cross multiply
    52,013.80x = 78,020.70 × 41,645.80
  4. Step 4: Simplify right side
    52,013.80x = 3,249,234,468.06
  5. Step 5: Solve for x
    x = 3,249,234,468.06/52,013.80
  6. Step 6: Final answer
    x = 62,468.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.