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Finding the Fourth Proportional to 30,470.52, 42,049.02 and 17,041.80

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Solution

The fourth proportional to 30,470.52, 42,049.02 and 17,041.80 is: 23,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.52 : 42,049.02 = 17,041.80 : x
  2. Step 2: Convert to fraction form
    30,470.52/42,049.02 = 17,041.80/x
  3. Step 3: Cross multiply
    30,470.52x = 42,049.02 × 17,041.80
  4. Step 4: Simplify right side
    30,470.52x = 716,590,989.04
  5. Step 5: Solve for x
    x = 716,590,989.04/30,470.52
  6. Step 6: Final answer
    x = 23,517.52

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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.