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Finding the Fourth Proportional to 103,626, 155,465.10 and 29,754

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Solution

The fourth proportional to 103,626, 155,465.10 and 29,754 is: 44,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,626 : 155,465.10 = 29,754 : x
  2. Step 2: Convert to fraction form
    103,626/155,465.10 = 29,754/x
  3. Step 3: Cross multiply
    103,626x = 155,465.10 × 29,754
  4. Step 4: Simplify right side
    103,626x = 4,625,708,585.40
  5. Step 5: Solve for x
    x = 4,625,708,585.40/103,626
  6. Step 6: Final answer
    x = 44,638.49

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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.