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Finding the Fourth Proportional to 83,287.17, 114,927.93 and 47,475.18

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Solution

The fourth proportional to 83,287.17, 114,927.93 and 47,475.18 is: 65,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.17 : 114,927.93 = 47,475.18 : x
  2. Step 2: Convert to fraction form
    83,287.17/114,927.93 = 47,475.18/x
  3. Step 3: Cross multiply
    83,287.17x = 114,927.93 × 47,475.18
  4. Step 4: Simplify right side
    83,287.17x = 5,456,224,163.78
  5. Step 5: Solve for x
    x = 5,456,224,163.78/83,287.17
  6. Step 6: Final answer
    x = 65,510.98

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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.