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Finding the Fourth Proportional to 65,034.72, 89,746.08 and 38,176.80

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Solution

The fourth proportional to 65,034.72, 89,746.08 and 38,176.80 is: 52,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.72 : 89,746.08 = 38,176.80 : x
  2. Step 2: Convert to fraction form
    65,034.72/89,746.08 = 38,176.80/x
  3. Step 3: Cross multiply
    65,034.72x = 89,746.08 × 38,176.80
  4. Step 4: Simplify right side
    65,034.72x = 3,426,218,146.94
  5. Step 5: Solve for x
    x = 3,426,218,146.94/65,034.72
  6. Step 6: Final answer
    x = 52,682.91

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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.