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Finding the Fourth Proportional to 32,751.72, 49,139.74 and 19,613.48

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Solution

The fourth proportional to 32,751.72, 49,139.74 and 19,613.48 is: 29,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.72 : 49,139.74 = 19,613.48 : x
  2. Step 2: Convert to fraction form
    32,751.72/49,139.74 = 19,613.48/x
  3. Step 3: Cross multiply
    32,751.72x = 49,139.74 × 19,613.48
  4. Step 4: Simplify right side
    32,751.72x = 963,801,307.70
  5. Step 5: Solve for x
    x = 963,801,307.70/32,751.72
  6. Step 6: Final answer
    x = 29,427.50

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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.