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Finding the Fourth Proportional to 77,097.48, 106,393.14 and 43,562.76

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Solution

The fourth proportional to 77,097.48, 106,393.14 and 43,562.76 is: 60,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.48 : 106,393.14 = 43,562.76 : x
  2. Step 2: Convert to fraction form
    77,097.48/106,393.14 = 43,562.76/x
  3. Step 3: Cross multiply
    77,097.48x = 106,393.14 × 43,562.76
  4. Step 4: Simplify right side
    77,097.48x = 4,634,778,823.47
  5. Step 5: Solve for x
    x = 4,634,778,823.47/77,097.48
  6. Step 6: Final answer
    x = 60,115.83

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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.