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Finding the Fourth Proportional to 74,342.83, 102,678.30 and 48,962.71

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Solution

The fourth proportional to 74,342.83, 102,678.30 and 48,962.71 is: 67,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,342.83 : 102,678.30 = 48,962.71 : x
  2. Step 2: Convert to fraction form
    74,342.83/102,678.30 = 48,962.71/x
  3. Step 3: Cross multiply
    74,342.83x = 102,678.30 × 48,962.71
  4. Step 4: Simplify right side
    74,342.83x = 5,027,407,826.19
  5. Step 5: Solve for x
    x = 5,027,407,826.19/74,342.83
  6. Step 6: Final answer
    x = 67,624.65

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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.