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Finding the Fourth Proportional to 82,860.52, 114,348.29 and 47,051.28

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Solution

The fourth proportional to 82,860.52, 114,348.29 and 47,051.28 is: 64,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,860.52 : 114,348.29 = 47,051.28 : x
  2. Step 2: Convert to fraction form
    82,860.52/114,348.29 = 47,051.28/x
  3. Step 3: Cross multiply
    82,860.52x = 114,348.29 × 47,051.28
  4. Step 4: Simplify right side
    82,860.52x = 5,380,232,838.57
  5. Step 5: Solve for x
    x = 5,380,232,838.57/82,860.52
  6. Step 6: Final answer
    x = 64,931.20

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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.