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Finding the Fourth Proportional to 76,898.34, 115,307.28 and 34,742.16

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Solution

The fourth proportional to 76,898.34, 115,307.28 and 34,742.16 is: 52,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,898.34 : 115,307.28 = 34,742.16 : x
  2. Step 2: Convert to fraction form
    76,898.34/115,307.28 = 34,742.16/x
  3. Step 3: Cross multiply
    76,898.34x = 115,307.28 × 34,742.16
  4. Step 4: Simplify right side
    76,898.34x = 4,006,023,970.92
  5. Step 5: Solve for x
    x = 4,006,023,970.92/76,898.34
  6. Step 6: Final answer
    x = 52,095.06

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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.