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Finding the Fourth Proportional to 31,406.40, 47,085.60 and 15,835.20

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Solution

The fourth proportional to 31,406.40, 47,085.60 and 15,835.20 is: 23,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.40 : 47,085.60 = 15,835.20 : x
  2. Step 2: Convert to fraction form
    31,406.40/47,085.60 = 15,835.20/x
  3. Step 3: Cross multiply
    31,406.40x = 47,085.60 × 15,835.20
  4. Step 4: Simplify right side
    31,406.40x = 745,609,893.12
  5. Step 5: Solve for x
    x = 745,609,893.12/31,406.40
  6. Step 6: Final answer
    x = 23,740.70

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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.