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Finding the Fourth Proportional to 65,159.76, 97,740.70 and 25,716.54

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Solution

The fourth proportional to 65,159.76, 97,740.70 and 25,716.54 is: 38,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,159.76 : 97,740.70 = 25,716.54 : x
  2. Step 2: Convert to fraction form
    65,159.76/97,740.70 = 25,716.54/x
  3. Step 3: Cross multiply
    65,159.76x = 97,740.70 × 25,716.54
  4. Step 4: Simplify right side
    65,159.76x = 2,513,552,621.18
  5. Step 5: Solve for x
    x = 2,513,552,621.18/65,159.76
  6. Step 6: Final answer
    x = 38,575.23

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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.