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Finding the Fourth Proportional to 76,241.94, 105,217.92 and 42,254.13

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Solution

The fourth proportional to 76,241.94, 105,217.92 and 42,254.13 is: 58,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,241.94 : 105,217.92 = 42,254.13 : x
  2. Step 2: Convert to fraction form
    76,241.94/105,217.92 = 42,254.13/x
  3. Step 3: Cross multiply
    76,241.94x = 105,217.92 × 42,254.13
  4. Step 4: Simplify right side
    76,241.94x = 4,445,891,670.01
  5. Step 5: Solve for x
    x = 4,445,891,670.01/76,241.94
  6. Step 6: Final answer
    x = 58,312.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.