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Finding the Fourth Proportional to 50,502.34, 75,746.22 and 15,432.58

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Solution

The fourth proportional to 50,502.34, 75,746.22 and 15,432.58 is: 23,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.34 : 75,746.22 = 15,432.58 : x
  2. Step 2: Convert to fraction form
    50,502.34/75,746.22 = 15,432.58/x
  3. Step 3: Cross multiply
    50,502.34x = 75,746.22 × 15,432.58
  4. Step 4: Simplify right side
    50,502.34x = 1,168,959,599.85
  5. Step 5: Solve for x
    x = 1,168,959,599.85/50,502.34
  6. Step 6: Final answer
    x = 23,146.64

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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.