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Finding the Fourth Proportional to 30,476.88, 42,057.90 and 17,048.07

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Solution

The fourth proportional to 30,476.88, 42,057.90 and 17,048.07 is: 23,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.88 : 42,057.90 = 17,048.07 : x
  2. Step 2: Convert to fraction form
    30,476.88/42,057.90 = 17,048.07/x
  3. Step 3: Cross multiply
    30,476.88x = 42,057.90 × 17,048.07
  4. Step 4: Simplify right side
    30,476.88x = 717,006,023.25
  5. Step 5: Solve for x
    x = 717,006,023.25/30,476.88
  6. Step 6: Final answer
    x = 23,526.23

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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.