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Finding the Fourth Proportional to 83,302.61, 114,960.47 and 45,576.86

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Solution

The fourth proportional to 83,302.61, 114,960.47 and 45,576.86 is: 62,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.61 : 114,960.47 = 45,576.86 : x
  2. Step 2: Convert to fraction form
    83,302.61/114,960.47 = 45,576.86/x
  3. Step 3: Cross multiply
    83,302.61x = 114,960.47 × 45,576.86
  4. Step 4: Simplify right side
    83,302.61x = 5,239,536,444.04
  5. Step 5: Solve for x
    x = 5,239,536,444.04/83,302.61
  6. Step 6: Final answer
    x = 62,897.63

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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.