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Finding the Fourth Proportional to 29,038.50, 40,080.42 and 17,097.48

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Solution

The fourth proportional to 29,038.50, 40,080.42 and 17,097.48 is: 23,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.50 : 40,080.42 = 17,097.48 : x
  2. Step 2: Convert to fraction form
    29,038.50/40,080.42 = 17,097.48/x
  3. Step 3: Cross multiply
    29,038.50x = 40,080.42 × 17,097.48
  4. Step 4: Simplify right side
    29,038.50x = 685,274,179.34
  5. Step 5: Solve for x
    x = 685,274,179.34/29,038.50
  6. Step 6: Final answer
    x = 23,598.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.