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Finding the Fourth Proportional to 52,462.60, 78,693.90 and 41,403.40

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Solution

The fourth proportional to 52,462.60, 78,693.90 and 41,403.40 is: 62,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,462.60 : 78,693.90 = 41,403.40 : x
  2. Step 2: Convert to fraction form
    52,462.60/78,693.90 = 41,403.40/x
  3. Step 3: Cross multiply
    52,462.60x = 78,693.90 × 41,403.40
  4. Step 4: Simplify right side
    52,462.60x = 3,258,195,019.26
  5. Step 5: Solve for x
    x = 3,258,195,019.26/52,462.60
  6. Step 6: Final answer
    x = 62,105.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.