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Finding the Fourth Proportional to 31,985.70, 47,978.55 and 16,433.70

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Solution

The fourth proportional to 31,985.70, 47,978.55 and 16,433.70 is: 24,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.70 : 47,978.55 = 16,433.70 : x
  2. Step 2: Convert to fraction form
    31,985.70/47,978.55 = 16,433.70/x
  3. Step 3: Cross multiply
    31,985.70x = 47,978.55 × 16,433.70
  4. Step 4: Simplify right side
    31,985.70x = 788,465,097.14
  5. Step 5: Solve for x
    x = 788,465,097.14/31,985.70
  6. Step 6: Final answer
    x = 24,650.55

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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.