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Finding the Fourth Proportional to 106,776.68, 147,357.59 and 59,034.47

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Solution

The fourth proportional to 106,776.68, 147,357.59 and 59,034.47 is: 81,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.68 : 147,357.59 = 59,034.47 : x
  2. Step 2: Convert to fraction form
    106,776.68/147,357.59 = 59,034.47/x
  3. Step 3: Cross multiply
    106,776.68x = 147,357.59 × 59,034.47
  4. Step 4: Simplify right side
    106,776.68x = 8,699,176,194.17
  5. Step 5: Solve for x
    x = 8,699,176,194.17/106,776.68
  6. Step 6: Final answer
    x = 81,470.75

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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.