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Finding the Fourth Proportional to 83,322.76, 114,985.40 and 45,597

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Solution

The fourth proportional to 83,322.76, 114,985.40 and 45,597 is: 62,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.76 : 114,985.40 = 45,597 : x
  2. Step 2: Convert to fraction form
    83,322.76/114,985.40 = 45,597/x
  3. Step 3: Cross multiply
    83,322.76x = 114,985.40 × 45,597
  4. Step 4: Simplify right side
    83,322.76x = 5,242,989,283.80
  5. Step 5: Solve for x
    x = 5,242,989,283.80/83,322.76
  6. Step 6: Final answer
    x = 62,923.86

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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.