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Finding the Fourth Proportional to 83,018.64, 114,565.32 and 45,292.56

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Solution

The fourth proportional to 83,018.64, 114,565.32 and 45,292.56 is: 62,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.64 : 114,565.32 = 45,292.56 : x
  2. Step 2: Convert to fraction form
    83,018.64/114,565.32 = 45,292.56/x
  3. Step 3: Cross multiply
    83,018.64x = 114,565.32 × 45,292.56
  4. Step 4: Simplify right side
    83,018.64x = 5,188,956,630.02
  5. Step 5: Solve for x
    x = 5,188,956,630.02/83,018.64
  6. Step 6: Final answer
    x = 62,503.51

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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.