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Finding the Fourth Proportional to 101,506.20, 152,244.90 and 31,392.60

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Solution

The fourth proportional to 101,506.20, 152,244.90 and 31,392.60 is: 47,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.20 : 152,244.90 = 31,392.60 : x
  2. Step 2: Convert to fraction form
    101,506.20/152,244.90 = 31,392.60/x
  3. Step 3: Cross multiply
    101,506.20x = 152,244.90 × 31,392.60
  4. Step 4: Simplify right side
    101,506.20x = 4,779,363,247.74
  5. Step 5: Solve for x
    x = 4,779,363,247.74/101,506.20
  6. Step 6: Final answer
    x = 47,084.45

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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.