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Finding the Fourth Proportional to 31,602.88, 47,430.24 and 16,024.96

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Solution

The fourth proportional to 31,602.88, 47,430.24 and 16,024.96 is: 24,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.88 : 47,430.24 = 16,024.96 : x
  2. Step 2: Convert to fraction form
    31,602.88/47,430.24 = 16,024.96/x
  3. Step 3: Cross multiply
    31,602.88x = 47,430.24 × 16,024.96
  4. Step 4: Simplify right side
    31,602.88x = 760,067,698.79
  5. Step 5: Solve for x
    x = 760,067,698.79/31,602.88
  6. Step 6: Final answer
    x = 24,050.58

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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.