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Finding the Fourth Proportional to 44,734.32, 67,102.04 and 19,428

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Solution

The fourth proportional to 44,734.32, 67,102.04 and 19,428 is: 29,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,734.32 : 67,102.04 = 19,428 : x
  2. Step 2: Convert to fraction form
    44,734.32/67,102.04 = 19,428/x
  3. Step 3: Cross multiply
    44,734.32x = 67,102.04 × 19,428
  4. Step 4: Simplify right side
    44,734.32x = 1,303,658,433.12
  5. Step 5: Solve for x
    x = 1,303,658,433.12/44,734.32
  6. Step 6: Final answer
    x = 29,142.24

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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.