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Finding the Fourth Proportional to 29,352, 44,034.48 and 10,884

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Solution

The fourth proportional to 29,352, 44,034.48 and 10,884 is: 16,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352 : 44,034.48 = 10,884 : x
  2. Step 2: Convert to fraction form
    29,352/44,034.48 = 10,884/x
  3. Step 3: Cross multiply
    29,352x = 44,034.48 × 10,884
  4. Step 4: Simplify right side
    29,352x = 479,271,280.32
  5. Step 5: Solve for x
    x = 479,271,280.32/29,352
  6. Step 6: Final answer
    x = 16,328.40

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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.