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Finding the Fourth Proportional to 76,377, 114,574.86 and 23,778.12

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Solution

The fourth proportional to 76,377, 114,574.86 and 23,778.12 is: 35,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,377 : 114,574.86 = 23,778.12 : x
  2. Step 2: Convert to fraction form
    76,377/114,574.86 = 23,778.12/x
  3. Step 3: Cross multiply
    76,377x = 114,574.86 × 23,778.12
  4. Step 4: Simplify right side
    76,377x = 2,724,374,770.06
  5. Step 5: Solve for x
    x = 2,724,374,770.06/76,377
  6. Step 6: Final answer
    x = 35,670.09

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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.