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Finding the Fourth Proportional to 83,011.41, 114,557.57 and 45,285.63

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Solution

The fourth proportional to 83,011.41, 114,557.57 and 45,285.63 is: 62,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,011.41 : 114,557.57 = 45,285.63 : x
  2. Step 2: Convert to fraction form
    83,011.41/114,557.57 = 45,285.63/x
  3. Step 3: Cross multiply
    83,011.41x = 114,557.57 × 45,285.63
  4. Step 4: Simplify right side
    83,011.41x = 5,187,811,502.29
  5. Step 5: Solve for x
    x = 5,187,811,502.29/83,011.41
  6. Step 6: Final answer
    x = 62,495.16

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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.