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Finding the Fourth Proportional to 83,002.26, 114,509.28 and 57,866.34

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Solution

The fourth proportional to 83,002.26, 114,509.28 and 57,866.34 is: 79,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002.26 : 114,509.28 = 57,866.34 : x
  2. Step 2: Convert to fraction form
    83,002.26/114,509.28 = 57,866.34/x
  3. Step 3: Cross multiply
    83,002.26x = 114,509.28 × 57,866.34
  4. Step 4: Simplify right side
    83,002.26x = 6,626,232,929.64
  5. Step 5: Solve for x
    x = 6,626,232,929.64/83,002.26
  6. Step 6: Final answer
    x = 79,831.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.