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Finding the Fourth Proportional to 76,750.38, 105,917.34 and 42,761.16

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Solution

The fourth proportional to 76,750.38, 105,917.34 and 42,761.16 is: 59,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.38 : 105,917.34 = 42,761.16 : x
  2. Step 2: Convert to fraction form
    76,750.38/105,917.34 = 42,761.16/x
  3. Step 3: Cross multiply
    76,750.38x = 105,917.34 × 42,761.16
  4. Step 4: Simplify right side
    76,750.38x = 4,529,148,322.51
  5. Step 5: Solve for x
    x = 4,529,148,322.51/76,750.38
  6. Step 6: Final answer
    x = 59,011.41

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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.