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Finding the Fourth Proportional to 70,574.40, 105,829.20 and 31,111.20

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Solution

The fourth proportional to 70,574.40, 105,829.20 and 31,111.20 is: 46,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,574.40 : 105,829.20 = 31,111.20 : x
  2. Step 2: Convert to fraction form
    70,574.40/105,829.20 = 31,111.20/x
  3. Step 3: Cross multiply
    70,574.40x = 105,829.20 × 31,111.20
  4. Step 4: Simplify right side
    70,574.40x = 3,292,473,407.04
  5. Step 5: Solve for x
    x = 3,292,473,407.04/70,574.40
  6. Step 6: Final answer
    x = 46,652.52

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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.