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Finding the Fourth Proportional to 109,482.56, 164,150.91 and 39,352.76

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Solution

The fourth proportional to 109,482.56, 164,150.91 and 39,352.76 is: 59,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.56 : 164,150.91 = 39,352.76 : x
  2. Step 2: Convert to fraction form
    109,482.56/164,150.91 = 39,352.76/x
  3. Step 3: Cross multiply
    109,482.56x = 164,150.91 × 39,352.76
  4. Step 4: Simplify right side
    109,482.56x = 6,459,790,544.26
  5. Step 5: Solve for x
    x = 6,459,790,544.26/109,482.56
  6. Step 6: Final answer
    x = 59,002.92

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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.