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Finding the Fourth Proportional to 30,759.66, 46,123.07 and 15,931.80

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Solution

The fourth proportional to 30,759.66, 46,123.07 and 15,931.80 is: 23,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.66 : 46,123.07 = 15,931.80 : x
  2. Step 2: Convert to fraction form
    30,759.66/46,123.07 = 15,931.80/x
  3. Step 3: Cross multiply
    30,759.66x = 46,123.07 × 15,931.80
  4. Step 4: Simplify right side
    30,759.66x = 734,823,446.97
  5. Step 5: Solve for x
    x = 734,823,446.97/30,759.66
  6. Step 6: Final answer
    x = 23,889.19

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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.