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Finding the Fourth Proportional to 82,860.57, 114,343.65 and 47,045.88

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Solution

The fourth proportional to 82,860.57, 114,343.65 and 47,045.88 is: 64,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,860.57 : 114,343.65 = 47,045.88 : x
  2. Step 2: Convert to fraction form
    82,860.57/114,343.65 = 47,045.88/x
  3. Step 3: Cross multiply
    82,860.57x = 114,343.65 × 47,045.88
  4. Step 4: Simplify right side
    82,860.57x = 5,379,397,636.66
  5. Step 5: Solve for x
    x = 5,379,397,636.66/82,860.57
  6. Step 6: Final answer
    x = 64,921.08

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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.