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Finding the Fourth Proportional to 70,454.48, 105,716.12 and 31,006.64

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Solution

The fourth proportional to 70,454.48, 105,716.12 and 31,006.64 is: 46,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454.48 : 105,716.12 = 31,006.64 : x
  2. Step 2: Convert to fraction form
    70,454.48/105,716.12 = 31,006.64/x
  3. Step 3: Cross multiply
    70,454.48x = 105,716.12 × 31,006.64
  4. Step 4: Simplify right side
    70,454.48x = 3,277,901,675.04
  5. Step 5: Solve for x
    x = 3,277,901,675.04/70,454.48
  6. Step 6: Final answer
    x = 46,525.10

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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.