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Finding the Fourth Proportional to 65,578.48, 90,597 and 42,971.20

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Solution

The fourth proportional to 65,578.48, 90,597 and 42,971.20 is: 59,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578.48 : 90,597 = 42,971.20 : x
  2. Step 2: Convert to fraction form
    65,578.48/90,597 = 42,971.20/x
  3. Step 3: Cross multiply
    65,578.48x = 90,597 × 42,971.20
  4. Step 4: Simplify right side
    65,578.48x = 3,893,061,806.40
  5. Step 5: Solve for x
    x = 3,893,061,806.40/65,578.48
  6. Step 6: Final answer
    x = 59,364.93

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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.