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Finding the Fourth Proportional to 47,897.70, 71,846.55 and 31,308.90

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Solution

The fourth proportional to 47,897.70, 71,846.55 and 31,308.90 is: 46,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897.70 : 71,846.55 = 31,308.90 : x
  2. Step 2: Convert to fraction form
    47,897.70/71,846.55 = 31,308.90/x
  3. Step 3: Cross multiply
    47,897.70x = 71,846.55 × 31,308.90
  4. Step 4: Simplify right side
    47,897.70x = 2,249,436,449.30
  5. Step 5: Solve for x
    x = 2,249,436,449.30/47,897.70
  6. Step 6: Final answer
    x = 46,963.35

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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.