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Finding the Fourth Proportional to 52,177.32, 72,005.22 and 28,305

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Solution

The fourth proportional to 52,177.32, 72,005.22 and 28,305 is: 39,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177.32 : 72,005.22 = 28,305 : x
  2. Step 2: Convert to fraction form
    52,177.32/72,005.22 = 28,305/x
  3. Step 3: Cross multiply
    52,177.32x = 72,005.22 × 28,305
  4. Step 4: Simplify right side
    52,177.32x = 2,038,107,752.10
  5. Step 5: Solve for x
    x = 2,038,107,752.10/52,177.32
  6. Step 6: Final answer
    x = 39,061.18

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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.