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Finding the Fourth Proportional to 82,902.47, 114,423.86 and 52,681.89

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Solution

The fourth proportional to 82,902.47, 114,423.86 and 52,681.89 is: 72,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.47 : 114,423.86 = 52,681.89 : x
  2. Step 2: Convert to fraction form
    82,902.47/114,423.86 = 52,681.89/x
  3. Step 3: Cross multiply
    82,902.47x = 114,423.86 × 52,681.89
  4. Step 4: Simplify right side
    82,902.47x = 6,028,064,942.49
  5. Step 5: Solve for x
    x = 6,028,064,942.49/82,902.47
  6. Step 6: Final answer
    x = 72,712.73

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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.