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Finding the Fourth Proportional to 86,865.72, 130,303.62 and 24,531

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Solution

The fourth proportional to 86,865.72, 130,303.62 and 24,531 is: 36,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,865.72 : 130,303.62 = 24,531 : x
  2. Step 2: Convert to fraction form
    86,865.72/130,303.62 = 24,531/x
  3. Step 3: Cross multiply
    86,865.72x = 130,303.62 × 24,531
  4. Step 4: Simplify right side
    86,865.72x = 3,196,478,102.22
  5. Step 5: Solve for x
    x = 3,196,478,102.22/86,865.72
  6. Step 6: Final answer
    x = 36,797.92

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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.