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Finding the Fourth Proportional to 65,130.72, 97,703.12 and 23,568.48

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Solution

The fourth proportional to 65,130.72, 97,703.12 and 23,568.48 is: 35,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.72 : 97,703.12 = 23,568.48 : x
  2. Step 2: Convert to fraction form
    65,130.72/97,703.12 = 23,568.48/x
  3. Step 3: Cross multiply
    65,130.72x = 97,703.12 × 23,568.48
  4. Step 4: Simplify right side
    65,130.72x = 2,302,714,029.66
  5. Step 5: Solve for x
    x = 2,302,714,029.66/65,130.72
  6. Step 6: Final answer
    x = 35,355.27

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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.