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Finding the Fourth Proportional to 47,465.40, 65,545.74 and 38,102.52

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Solution

The fourth proportional to 47,465.40, 65,545.74 and 38,102.52 is: 52,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465.40 : 65,545.74 = 38,102.52 : x
  2. Step 2: Convert to fraction form
    47,465.40/65,545.74 = 38,102.52/x
  3. Step 3: Cross multiply
    47,465.40x = 65,545.74 × 38,102.52
  4. Step 4: Simplify right side
    47,465.40x = 2,497,457,869.26
  5. Step 5: Solve for x
    x = 2,497,457,869.26/47,465.40
  6. Step 6: Final answer
    x = 52,616.39

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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.