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Finding the Fourth Proportional to 23,258.66, 32,031.38 and 23,185.76

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Solution

The fourth proportional to 23,258.66, 32,031.38 and 23,185.76 is: 31,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.66 : 32,031.38 = 23,185.76 : x
  2. Step 2: Convert to fraction form
    23,258.66/32,031.38 = 23,185.76/x
  3. Step 3: Cross multiply
    23,258.66x = 32,031.38 × 23,185.76
  4. Step 4: Simplify right side
    23,258.66x = 742,671,786.96
  5. Step 5: Solve for x
    x = 742,671,786.96/23,258.66
  6. Step 6: Final answer
    x = 31,930.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.