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Finding the Fourth Proportional to 31,353.40, 47,106.90 and 23,577.40

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Solution

The fourth proportional to 31,353.40, 47,106.90 and 23,577.40 is: 35,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.40 : 47,106.90 = 23,577.40 : x
  2. Step 2: Convert to fraction form
    31,353.40/47,106.90 = 23,577.40/x
  3. Step 3: Cross multiply
    31,353.40x = 47,106.90 × 23,577.40
  4. Step 4: Simplify right side
    31,353.40x = 1,110,658,224.06
  5. Step 5: Solve for x
    x = 1,110,658,224.06/31,353.40
  6. Step 6: Final answer
    x = 35,423.85

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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.