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Finding the Fourth Proportional to 83,214, 114,835.73 and 45,488.25

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Solution

The fourth proportional to 83,214, 114,835.73 and 45,488.25 is: 62,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214 : 114,835.73 = 45,488.25 : x
  2. Step 2: Convert to fraction form
    83,214/114,835.73 = 45,488.25/x
  3. Step 3: Cross multiply
    83,214x = 114,835.73 × 45,488.25
  4. Step 4: Simplify right side
    83,214x = 5,223,676,395.17
  5. Step 5: Solve for x
    x = 5,223,676,395.17/83,214
  6. Step 6: Final answer
    x = 62,774.01

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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.