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Finding the Fourth Proportional to 70,031.75, 105,048.54 and 23,284.63

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Solution

The fourth proportional to 70,031.75, 105,048.54 and 23,284.63 is: 34,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.75 : 105,048.54 = 23,284.63 : x
  2. Step 2: Convert to fraction form
    70,031.75/105,048.54 = 23,284.63/x
  3. Step 3: Cross multiply
    70,031.75x = 105,048.54 × 23,284.63
  4. Step 4: Simplify right side
    70,031.75x = 2,446,015,744.27
  5. Step 5: Solve for x
    x = 2,446,015,744.27/70,031.75
  6. Step 6: Final answer
    x = 34,927.24

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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.