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Finding the Fourth Proportional to 65,023.40, 97,548.72 and 36,956.48

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Solution

The fourth proportional to 65,023.40, 97,548.72 and 36,956.48 is: 55,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.40 : 97,548.72 = 36,956.48 : x
  2. Step 2: Convert to fraction form
    65,023.40/97,548.72 = 36,956.48/x
  3. Step 3: Cross multiply
    65,023.40x = 97,548.72 × 36,956.48
  4. Step 4: Simplify right side
    65,023.40x = 3,605,057,319.71
  5. Step 5: Solve for x
    x = 3,605,057,319.71/65,023.40
  6. Step 6: Final answer
    x = 55,442.46

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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.