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Finding the Fourth Proportional to 77,332.14, 106,718.31 and 43,798.14

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Solution

The fourth proportional to 77,332.14, 106,718.31 and 43,798.14 is: 60,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,332.14 : 106,718.31 = 43,798.14 : x
  2. Step 2: Convert to fraction form
    77,332.14/106,718.31 = 43,798.14/x
  3. Step 3: Cross multiply
    77,332.14x = 106,718.31 × 43,798.14
  4. Step 4: Simplify right side
    77,332.14x = 4,674,063,481.94
  5. Step 5: Solve for x
    x = 4,674,063,481.94/77,332.14
  6. Step 6: Final answer
    x = 60,441.41

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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.