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Finding the Fourth Proportional to 88,051.90, 132,098 and 38,140.32

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Solution

The fourth proportional to 88,051.90, 132,098 and 38,140.32 is: 57,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,051.90 : 132,098 = 38,140.32 : x
  2. Step 2: Convert to fraction form
    88,051.90/132,098 = 38,140.32/x
  3. Step 3: Cross multiply
    88,051.90x = 132,098 × 38,140.32
  4. Step 4: Simplify right side
    88,051.90x = 5,038,259,991.36
  5. Step 5: Solve for x
    x = 5,038,259,991.36/88,051.90
  6. Step 6: Final answer
    x = 57,219.21

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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.