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Finding the Fourth Proportional to 65,294, 90,105.72 and 38,798

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Solution

The fourth proportional to 65,294, 90,105.72 and 38,798 is: 53,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294 : 90,105.72 = 38,798 : x
  2. Step 2: Convert to fraction form
    65,294/90,105.72 = 38,798/x
  3. Step 3: Cross multiply
    65,294x = 90,105.72 × 38,798
  4. Step 4: Simplify right side
    65,294x = 3,495,921,724.56
  5. Step 5: Solve for x
    x = 3,495,921,724.56/65,294
  6. Step 6: Final answer
    x = 53,541.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.