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Finding the Fourth Proportional to 86,681.36, 130,026.90 and 24,347

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Solution

The fourth proportional to 86,681.36, 130,026.90 and 24,347 is: 36,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,681.36 : 130,026.90 = 24,347 : x
  2. Step 2: Convert to fraction form
    86,681.36/130,026.90 = 24,347/x
  3. Step 3: Cross multiply
    86,681.36x = 130,026.90 × 24,347
  4. Step 4: Simplify right side
    86,681.36x = 3,165,764,934.30
  5. Step 5: Solve for x
    x = 3,165,764,934.30/86,681.36
  6. Step 6: Final answer
    x = 36,521.87

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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.