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Finding the Fourth Proportional to 83,322.87, 114,985.11 and 45,082.35

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Solution

The fourth proportional to 83,322.87, 114,985.11 and 45,082.35 is: 62,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.87 : 114,985.11 = 45,082.35 : x
  2. Step 2: Convert to fraction form
    83,322.87/114,985.11 = 45,082.35/x
  3. Step 3: Cross multiply
    83,322.87x = 114,985.11 × 45,082.35
  4. Step 4: Simplify right side
    83,322.87x = 5,183,798,973.81
  5. Step 5: Solve for x
    x = 5,183,798,973.81/83,322.87
  6. Step 6: Final answer
    x = 62,213.40

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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.