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Finding the Fourth Proportional to 65,866.60, 98,851.74 and 24,325.48

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Solution

The fourth proportional to 65,866.60, 98,851.74 and 24,325.48 is: 36,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866.60 : 98,851.74 = 24,325.48 : x
  2. Step 2: Convert to fraction form
    65,866.60/98,851.74 = 24,325.48/x
  3. Step 3: Cross multiply
    65,866.60x = 98,851.74 × 24,325.48
  4. Step 4: Simplify right side
    65,866.60x = 2,404,616,024.34
  5. Step 5: Solve for x
    x = 2,404,616,024.34/65,866.60
  6. Step 6: Final answer
    x = 36,507.37

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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.