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Finding the Fourth Proportional to 65,614.15, 98,397 and 23,482.81

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Solution

The fourth proportional to 65,614.15, 98,397 and 23,482.81 is: 35,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614.15 : 98,397 = 23,482.81 : x
  2. Step 2: Convert to fraction form
    65,614.15/98,397 = 23,482.81/x
  3. Step 3: Cross multiply
    65,614.15x = 98,397 × 23,482.81
  4. Step 4: Simplify right side
    65,614.15x = 2,310,638,055.57
  5. Step 5: Solve for x
    x = 2,310,638,055.57/65,614.15
  6. Step 6: Final answer
    x = 35,215.55

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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.