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Finding the Fourth Proportional to 65,894.50, 98,647.89 and 40,854.16

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Solution

The fourth proportional to 65,894.50, 98,647.89 and 40,854.16 is: 61,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.50 : 98,647.89 = 40,854.16 : x
  2. Step 2: Convert to fraction form
    65,894.50/98,647.89 = 40,854.16/x
  3. Step 3: Cross multiply
    65,894.50x = 98,647.89 × 40,854.16
  4. Step 4: Simplify right side
    65,894.50x = 4,030,176,681.72
  5. Step 5: Solve for x
    x = 4,030,176,681.72/65,894.50
  6. Step 6: Final answer
    x = 61,161.05

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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.