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Finding the Fourth Proportional to 70,575.84, 105,857.20 and 23,829.12

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Solution

The fourth proportional to 70,575.84, 105,857.20 and 23,829.12 is: 35,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,575.84 : 105,857.20 = 23,829.12 : x
  2. Step 2: Convert to fraction form
    70,575.84/105,857.20 = 23,829.12/x
  3. Step 3: Cross multiply
    70,575.84x = 105,857.20 × 23,829.12
  4. Step 4: Simplify right side
    70,575.84x = 2,522,483,921.66
  5. Step 5: Solve for x
    x = 2,522,483,921.66/70,575.84
  6. Step 6: Final answer
    x = 35,741.47

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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.