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Finding the Fourth Proportional to 83,032.32, 114,582.96 and 45,307.20

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Solution

The fourth proportional to 83,032.32, 114,582.96 and 45,307.20 is: 62,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,032.32 : 114,582.96 = 45,307.20 : x
  2. Step 2: Convert to fraction form
    83,032.32/114,582.96 = 45,307.20/x
  3. Step 3: Cross multiply
    83,032.32x = 114,582.96 × 45,307.20
  4. Step 4: Simplify right side
    83,032.32x = 5,191,433,085.31
  5. Step 5: Solve for x
    x = 5,191,433,085.31/83,032.32
  6. Step 6: Final answer
    x = 62,523.04

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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.