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Finding the Fourth Proportional to 29,024.32, 43,544.40 and 8,248

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Solution

The fourth proportional to 29,024.32, 43,544.40 and 8,248 is: 12,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024.32 : 43,544.40 = 8,248 : x
  2. Step 2: Convert to fraction form
    29,024.32/43,544.40 = 8,248/x
  3. Step 3: Cross multiply
    29,024.32x = 43,544.40 × 8,248
  4. Step 4: Simplify right side
    29,024.32x = 359,154,211.20
  5. Step 5: Solve for x
    x = 359,154,211.20/29,024.32
  6. Step 6: Final answer
    x = 12,374.25

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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.