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Finding the Fourth Proportional to 76,316.64, 114,277.92 and 52,697.04

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Solution

The fourth proportional to 76,316.64, 114,277.92 and 52,697.04 is: 78,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,316.64 : 114,277.92 = 52,697.04 : x
  2. Step 2: Convert to fraction form
    76,316.64/114,277.92 = 52,697.04/x
  3. Step 3: Cross multiply
    76,316.64x = 114,277.92 × 52,697.04
  4. Step 4: Simplify right side
    76,316.64x = 6,022,108,121.36
  5. Step 5: Solve for x
    x = 6,022,108,121.36/76,316.64
  6. Step 6: Final answer
    x = 78,909.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.