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Finding the Fourth Proportional to 76,017, 114,040.68 and 23,424.24

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Solution

The fourth proportional to 76,017, 114,040.68 and 23,424.24 is: 35,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,017 : 114,040.68 = 23,424.24 : x
  2. Step 2: Convert to fraction form
    76,017/114,040.68 = 23,424.24/x
  3. Step 3: Cross multiply
    76,017x = 114,040.68 × 23,424.24
  4. Step 4: Simplify right side
    76,017x = 2,671,316,258.08
  5. Step 5: Solve for x
    x = 2,671,316,258.08/76,017
  6. Step 6: Final answer
    x = 35,141.04

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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.