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Finding the Fourth Proportional to 32,977.40, 49,409.40 and 15,411.20

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Solution

The fourth proportional to 32,977.40, 49,409.40 and 15,411.20 is: 23,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.40 : 49,409.40 = 15,411.20 : x
  2. Step 2: Convert to fraction form
    32,977.40/49,409.40 = 15,411.20/x
  3. Step 3: Cross multiply
    32,977.40x = 49,409.40 × 15,411.20
  4. Step 4: Simplify right side
    32,977.40x = 761,458,145.28
  5. Step 5: Solve for x
    x = 761,458,145.28/32,977.40
  6. Step 6: Final answer
    x = 23,090.30

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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.