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Finding the Fourth Proportional to 65,232.60, 97,848.90 and 34,128.60

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Solution

The fourth proportional to 65,232.60, 97,848.90 and 34,128.60 is: 51,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.60 : 97,848.90 = 34,128.60 : x
  2. Step 2: Convert to fraction form
    65,232.60/97,848.90 = 34,128.60/x
  3. Step 3: Cross multiply
    65,232.60x = 97,848.90 × 34,128.60
  4. Step 4: Simplify right side
    65,232.60x = 3,339,445,968.54
  5. Step 5: Solve for x
    x = 3,339,445,968.54/65,232.60
  6. Step 6: Final answer
    x = 51,192.90

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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.