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Finding the Fourth Proportional to 103,447, 155,179.50 and 28,567.24

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Solution

The fourth proportional to 103,447, 155,179.50 and 28,567.24 is: 42,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447 : 155,179.50 = 28,567.24 : x
  2. Step 2: Convert to fraction form
    103,447/155,179.50 = 28,567.24/x
  3. Step 3: Cross multiply
    103,447x = 155,179.50 × 28,567.24
  4. Step 4: Simplify right side
    103,447x = 4,433,050,019.58
  5. Step 5: Solve for x
    x = 4,433,050,019.58/103,447
  6. Step 6: Final answer
    x = 42,853.35

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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.