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Finding the Fourth Proportional to 44,722.32, 67,084 and 19,416

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Solution

The fourth proportional to 44,722.32, 67,084 and 19,416 is: 29,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,722.32 : 67,084 = 19,416 : x
  2. Step 2: Convert to fraction form
    44,722.32/67,084 = 19,416/x
  3. Step 3: Cross multiply
    44,722.32x = 67,084 × 19,416
  4. Step 4: Simplify right side
    44,722.32x = 1,302,502,944
  5. Step 5: Solve for x
    x = 1,302,502,944/44,722.32
  6. Step 6: Final answer
    x = 29,124.23

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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.