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Finding the Fourth Proportional to 32,746.80, 49,127.40 and 10,556.40

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Solution

The fourth proportional to 32,746.80, 49,127.40 and 10,556.40 is: 15,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.80 : 49,127.40 = 10,556.40 : x
  2. Step 2: Convert to fraction form
    32,746.80/49,127.40 = 10,556.40/x
  3. Step 3: Cross multiply
    32,746.80x = 49,127.40 × 10,556.40
  4. Step 4: Simplify right side
    32,746.80x = 518,608,485.36
  5. Step 5: Solve for x
    x = 518,608,485.36/32,746.80
  6. Step 6: Final answer
    x = 15,836.92

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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.