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Finding the Fourth Proportional to 70,642.96, 105,941.04 and 28,512.16

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Solution

The fourth proportional to 70,642.96, 105,941.04 and 28,512.16 is: 42,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.96 : 105,941.04 = 28,512.16 : x
  2. Step 2: Convert to fraction form
    70,642.96/105,941.04 = 28,512.16/x
  3. Step 3: Cross multiply
    70,642.96x = 105,941.04 × 28,512.16
  4. Step 4: Simplify right side
    70,642.96x = 3,020,607,883.05
  5. Step 5: Solve for x
    x = 3,020,607,883.05/70,642.96
  6. Step 6: Final answer
    x = 42,758.80

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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.