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Finding the Fourth Proportional to 32,980.40, 49,427.40 and 29,265.20

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Solution

The fourth proportional to 32,980.40, 49,427.40 and 29,265.20 is: 43,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.40 : 49,427.40 = 29,265.20 : x
  2. Step 2: Convert to fraction form
    32,980.40/49,427.40 = 29,265.20/x
  3. Step 3: Cross multiply
    32,980.40x = 49,427.40 × 29,265.20
  4. Step 4: Simplify right side
    32,980.40x = 1,446,502,746.48
  5. Step 5: Solve for x
    x = 1,446,502,746.48/32,980.40
  6. Step 6: Final answer
    x = 43,859.47

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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.