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Finding the Fourth Proportional to 32,970.40, 49,397.64 and 27,739.87

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Solution

The fourth proportional to 32,970.40, 49,397.64 and 27,739.87 is: 41,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.40 : 49,397.64 = 27,739.87 : x
  2. Step 2: Convert to fraction form
    32,970.40/49,397.64 = 27,739.87/x
  3. Step 3: Cross multiply
    32,970.40x = 49,397.64 × 27,739.87
  4. Step 4: Simplify right side
    32,970.40x = 1,370,284,111.91
  5. Step 5: Solve for x
    x = 1,370,284,111.91/32,970.40
  6. Step 6: Final answer
    x = 41,561.04

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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.