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Finding the Fourth Proportional to 65,403.24, 90,265.64 and 38,188.23

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Solution

The fourth proportional to 65,403.24, 90,265.64 and 38,188.23 is: 52,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.24 : 90,265.64 = 38,188.23 : x
  2. Step 2: Convert to fraction form
    65,403.24/90,265.64 = 38,188.23/x
  3. Step 3: Cross multiply
    65,403.24x = 90,265.64 × 38,188.23
  4. Step 4: Simplify right side
    65,403.24x = 3,447,084,830.48
  5. Step 5: Solve for x
    x = 3,447,084,830.48/65,403.24
  6. Step 6: Final answer
    x = 52,705.11

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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.