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Finding the Fourth Proportional to 51,601.80, 77,402.70 and 31,918.80

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Solution

The fourth proportional to 51,601.80, 77,402.70 and 31,918.80 is: 47,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,601.80 : 77,402.70 = 31,918.80 : x
  2. Step 2: Convert to fraction form
    51,601.80/77,402.70 = 31,918.80/x
  3. Step 3: Cross multiply
    51,601.80x = 77,402.70 × 31,918.80
  4. Step 4: Simplify right side
    51,601.80x = 2,470,601,300.76
  5. Step 5: Solve for x
    x = 2,470,601,300.76/51,601.80
  6. Step 6: Final answer
    x = 47,878.20

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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.