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Finding the Fourth Proportional to 76,109.40, 105,026.13 and 41,647.14

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Solution

The fourth proportional to 76,109.40, 105,026.13 and 41,647.14 is: 57,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.40 : 105,026.13 = 41,647.14 : x
  2. Step 2: Convert to fraction form
    76,109.40/105,026.13 = 41,647.14/x
  3. Step 3: Cross multiply
    76,109.40x = 105,026.13 × 41,647.14
  4. Step 4: Simplify right side
    76,109.40x = 4,374,037,939.77
  5. Step 5: Solve for x
    x = 4,374,037,939.77/76,109.40
  6. Step 6: Final answer
    x = 57,470.40

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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.