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Finding the Fourth Proportional to 76,000.66, 114,024.05 and 40,455.93

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Solution

The fourth proportional to 76,000.66, 114,024.05 and 40,455.93 is: 60,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.66 : 114,024.05 = 40,455.93 : x
  2. Step 2: Convert to fraction form
    76,000.66/114,024.05 = 40,455.93/x
  3. Step 3: Cross multiply
    76,000.66x = 114,024.05 × 40,455.93
  4. Step 4: Simplify right side
    76,000.66x = 4,612,948,985.12
  5. Step 5: Solve for x
    x = 4,612,948,985.12/76,000.66
  6. Step 6: Final answer
    x = 60,696.17

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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.