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Finding the Fourth Proportional to 30,478.71, 42,058.64 and 17,047.64

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Solution

The fourth proportional to 30,478.71, 42,058.64 and 17,047.64 is: 23,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.71 : 42,058.64 = 17,047.64 : x
  2. Step 2: Convert to fraction form
    30,478.71/42,058.64 = 17,047.64/x
  3. Step 3: Cross multiply
    30,478.71x = 42,058.64 × 17,047.64
  4. Step 4: Simplify right side
    30,478.71x = 717,000,553.61
  5. Step 5: Solve for x
    x = 717,000,553.61/30,478.71
  6. Step 6: Final answer
    x = 23,524.64

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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.