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Finding the Fourth Proportional to 30,182.93, 45,274.95 and 10,462.13

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Solution

The fourth proportional to 30,182.93, 45,274.95 and 10,462.13 is: 15,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.93 : 45,274.95 = 10,462.13 : x
  2. Step 2: Convert to fraction form
    30,182.93/45,274.95 = 10,462.13/x
  3. Step 3: Cross multiply
    30,182.93x = 45,274.95 × 10,462.13
  4. Step 4: Simplify right side
    30,182.93x = 473,672,186.27
  5. Step 5: Solve for x
    x = 473,672,186.27/30,182.93
  6. Step 6: Final answer
    x = 15,693.38

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1.5x scale

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.