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Finding the Fourth Proportional to 30,342.96, 45,515.07 and 7,854.12

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Solution

The fourth proportional to 30,342.96, 45,515.07 and 7,854.12 is: 11,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.96 : 45,515.07 = 7,854.12 : x
  2. Step 2: Convert to fraction form
    30,342.96/45,515.07 = 7,854.12/x
  3. Step 3: Cross multiply
    30,342.96x = 45,515.07 × 7,854.12
  4. Step 4: Simplify right side
    30,342.96x = 357,480,821.59
  5. Step 5: Solve for x
    x = 357,480,821.59/30,342.96
  6. Step 6: Final answer
    x = 11,781.34

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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.