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Finding the Fourth Proportional to 77,542.80, 107,020.80 and 47,345.68

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Solution

The fourth proportional to 77,542.80, 107,020.80 and 47,345.68 is: 65,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,542.80 : 107,020.80 = 47,345.68 : x
  2. Step 2: Convert to fraction form
    77,542.80/107,020.80 = 47,345.68/x
  3. Step 3: Cross multiply
    77,542.80x = 107,020.80 × 47,345.68
  4. Step 4: Simplify right side
    77,542.80x = 5,066,972,550.14
  5. Step 5: Solve for x
    x = 5,066,972,550.14/77,542.80
  6. Step 6: Final answer
    x = 65,344.20

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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.