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Finding the Fourth Proportional to 30,468.48, 45,666.24 and 15,684.48

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Solution

The fourth proportional to 30,468.48, 45,666.24 and 15,684.48 is: 23,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.48 : 45,666.24 = 15,684.48 : x
  2. Step 2: Convert to fraction form
    30,468.48/45,666.24 = 15,684.48/x
  3. Step 3: Cross multiply
    30,468.48x = 45,666.24 × 15,684.48
  4. Step 4: Simplify right side
    30,468.48x = 716,251,227.96
  5. Step 5: Solve for x
    x = 716,251,227.96/30,468.48
  6. Step 6: Final answer
    x = 23,507.94

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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.