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Finding the Fourth Proportional to 70,467.48, 105,701.22 and 31,024.80

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Solution

The fourth proportional to 70,467.48, 105,701.22 and 31,024.80 is: 46,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,467.48 : 105,701.22 = 31,024.80 : x
  2. Step 2: Convert to fraction form
    70,467.48/105,701.22 = 31,024.80/x
  3. Step 3: Cross multiply
    70,467.48x = 105,701.22 × 31,024.80
  4. Step 4: Simplify right side
    70,467.48x = 3,279,359,210.26
  5. Step 5: Solve for x
    x = 3,279,359,210.26/70,467.48
  6. Step 6: Final answer
    x = 46,537.20

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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.