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Finding the Fourth Proportional to 65,403.86, 90,260.19 and 38,547.50

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Solution

The fourth proportional to 65,403.86, 90,260.19 and 38,547.50 is: 53,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.86 : 90,260.19 = 38,547.50 : x
  2. Step 2: Convert to fraction form
    65,403.86/90,260.19 = 38,547.50/x
  3. Step 3: Cross multiply
    65,403.86x = 90,260.19 × 38,547.50
  4. Step 4: Simplify right side
    65,403.86x = 3,479,304,222.72
  5. Step 5: Solve for x
    x = 3,479,304,222.72/65,403.86
  6. Step 6: Final answer
    x = 53,197.23

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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.