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Finding the Fourth Proportional to 51,884.88, 77,710.20 and 31,064.40

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Solution

The fourth proportional to 51,884.88, 77,710.20 and 31,064.40 is: 46,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884.88 : 77,710.20 = 31,064.40 : x
  2. Step 2: Convert to fraction form
    51,884.88/77,710.20 = 31,064.40/x
  3. Step 3: Cross multiply
    51,884.88x = 77,710.20 × 31,064.40
  4. Step 4: Simplify right side
    51,884.88x = 2,414,020,736.88
  5. Step 5: Solve for x
    x = 2,414,020,736.88/51,884.88
  6. Step 6: Final answer
    x = 46,526.48

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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.