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Finding the Fourth Proportional to 88,076, 132,114 and 25,746.50

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Solution

The fourth proportional to 88,076, 132,114 and 25,746.50 is: 38,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,076 : 132,114 = 25,746.50 : x
  2. Step 2: Convert to fraction form
    88,076/132,114 = 25,746.50/x
  3. Step 3: Cross multiply
    88,076x = 132,114 × 25,746.50
  4. Step 4: Simplify right side
    88,076x = 3,401,473,101
  5. Step 5: Solve for x
    x = 3,401,473,101/88,076
  6. Step 6: Final answer
    x = 38,619.75

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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.