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Finding the Fourth Proportional to 65,160, 97,740.96 and 15,912

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Solution

The fourth proportional to 65,160, 97,740.96 and 15,912 is: 23,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,160 : 97,740.96 = 15,912 : x
  2. Step 2: Convert to fraction form
    65,160/97,740.96 = 15,912/x
  3. Step 3: Cross multiply
    65,160x = 97,740.96 × 15,912
  4. Step 4: Simplify right side
    65,160x = 1,555,254,155.52
  5. Step 5: Solve for x
    x = 1,555,254,155.52/65,160
  6. Step 6: Final answer
    x = 23,868.23

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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.