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Finding the Fourth Proportional to 31,316.99, 46,977.71 and 12,597.13

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Solution

The fourth proportional to 31,316.99, 46,977.71 and 12,597.13 is: 18,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,316.99 : 46,977.71 = 12,597.13 : x
  2. Step 2: Convert to fraction form
    31,316.99/46,977.71 = 12,597.13/x
  3. Step 3: Cross multiply
    31,316.99x = 46,977.71 × 12,597.13
  4. Step 4: Simplify right side
    31,316.99x = 591,784,319.97
  5. Step 5: Solve for x
    x = 591,784,319.97/31,316.99
  6. Step 6: Final answer
    x = 18,896.59

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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.