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Finding the Fourth Proportional to 83,034.96, 114,588 and 45,309.16

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Solution

The fourth proportional to 83,034.96, 114,588 and 45,309.16 is: 62,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034.96 : 114,588 = 45,309.16 : x
  2. Step 2: Convert to fraction form
    83,034.96/114,588 = 45,309.16/x
  3. Step 3: Cross multiply
    83,034.96x = 114,588 × 45,309.16
  4. Step 4: Simplify right side
    83,034.96x = 5,191,886,026.08
  5. Step 5: Solve for x
    x = 5,191,886,026.08/83,034.96
  6. Step 6: Final answer
    x = 62,526.51

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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.