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Finding the Fourth Proportional to 132,543.48, 198,808.74 and 49,431

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Solution

The fourth proportional to 132,543.48, 198,808.74 and 49,431 is: 74,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,543.48 : 198,808.74 = 49,431 : x
  2. Step 2: Convert to fraction form
    132,543.48/198,808.74 = 49,431/x
  3. Step 3: Cross multiply
    132,543.48x = 198,808.74 × 49,431
  4. Step 4: Simplify right side
    132,543.48x = 9,827,314,826.94
  5. Step 5: Solve for x
    x = 9,827,314,826.94/132,543.48
  6. Step 6: Final answer
    x = 74,144.08

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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.