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Finding the Fourth Proportional to 65,152.35, 97,749.27 and 29,123.28

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Solution

The fourth proportional to 65,152.35, 97,749.27 and 29,123.28 is: 43,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.35 : 97,749.27 = 29,123.28 : x
  2. Step 2: Convert to fraction form
    65,152.35/97,749.27 = 29,123.28/x
  3. Step 3: Cross multiply
    65,152.35x = 97,749.27 × 29,123.28
  4. Step 4: Simplify right side
    65,152.35x = 2,846,779,360.01
  5. Step 5: Solve for x
    x = 2,846,779,360.01/65,152.35
  6. Step 6: Final answer
    x = 43,694.19

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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.