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Finding the Fourth Proportional to 83,018.56, 114,564.72 and 45,292

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Solution

The fourth proportional to 83,018.56, 114,564.72 and 45,292 is: 62,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.56 : 114,564.72 = 45,292 : x
  2. Step 2: Convert to fraction form
    83,018.56/114,564.72 = 45,292/x
  3. Step 3: Cross multiply
    83,018.56x = 114,564.72 × 45,292
  4. Step 4: Simplify right side
    83,018.56x = 5,188,865,298.24
  5. Step 5: Solve for x
    x = 5,188,865,298.24/83,018.56
  6. Step 6: Final answer
    x = 62,502.47

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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.