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Finding the Fourth Proportional to 65,023.32, 97,484.76 and 29,921.16

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Solution

The fourth proportional to 65,023.32, 97,484.76 and 29,921.16 is: 44,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.32 : 97,484.76 = 29,921.16 : x
  2. Step 2: Convert to fraction form
    65,023.32/97,484.76 = 29,921.16/x
  3. Step 3: Cross multiply
    65,023.32x = 97,484.76 × 29,921.16
  4. Step 4: Simplify right side
    65,023.32x = 2,916,857,101.52
  5. Step 5: Solve for x
    x = 2,916,857,101.52/65,023.32
  6. Step 6: Final answer
    x = 44,858.63

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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.