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Finding the Fourth Proportional to 65,160, 97,741.08 and 25,716.78

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Solution

The fourth proportional to 65,160, 97,741.08 and 25,716.78 is: 38,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,160 : 97,741.08 = 25,716.78 : x
  2. Step 2: Convert to fraction form
    65,160/97,741.08 = 25,716.78/x
  3. Step 3: Cross multiply
    65,160x = 97,741.08 × 25,716.78
  4. Step 4: Simplify right side
    65,160x = 2,513,585,851.32
  5. Step 5: Solve for x
    x = 2,513,585,851.32/65,160
  6. Step 6: Final answer
    x = 38,575.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.