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Finding the Fourth Proportional to 31,200.48, 46,785.60 and 15,609.60

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Solution

The fourth proportional to 31,200.48, 46,785.60 and 15,609.60 is: 23,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.48 : 46,785.60 = 15,609.60 : x
  2. Step 2: Convert to fraction form
    31,200.48/46,785.60 = 15,609.60/x
  3. Step 3: Cross multiply
    31,200.48x = 46,785.60 × 15,609.60
  4. Step 4: Simplify right side
    31,200.48x = 730,304,501.76
  5. Step 5: Solve for x
    x = 730,304,501.76/31,200.48
  6. Step 6: Final answer
    x = 23,406.84

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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.