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Finding the Fourth Proportional to 65,112.74, 97,676.26 and 20,723.93

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Solution

The fourth proportional to 65,112.74, 97,676.26 and 20,723.93 is: 31,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.74 : 97,676.26 = 20,723.93 : x
  2. Step 2: Convert to fraction form
    65,112.74/97,676.26 = 20,723.93/x
  3. Step 3: Cross multiply
    65,112.74x = 97,676.26 × 20,723.93
  4. Step 4: Simplify right side
    65,112.74x = 2,024,235,434.71
  5. Step 5: Solve for x
    x = 2,024,235,434.71/65,112.74
  6. Step 6: Final answer
    x = 31,088.16

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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.