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Finding the Fourth Proportional to 73,934.32, 102,159.48 and 64,486.48

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Solution

The fourth proportional to 73,934.32, 102,159.48 and 64,486.48 is: 89,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,934.32 : 102,159.48 = 64,486.48 : x
  2. Step 2: Convert to fraction form
    73,934.32/102,159.48 = 64,486.48/x
  3. Step 3: Cross multiply
    73,934.32x = 102,159.48 × 64,486.48
  4. Step 4: Simplify right side
    73,934.32x = 6,587,905,263.83
  5. Step 5: Solve for x
    x = 6,587,905,263.83/73,934.32
  6. Step 6: Final answer
    x = 89,104.83

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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.