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Finding the Fourth Proportional to 70,476.32, 105,656.16 and 26,094.80

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Solution

The fourth proportional to 70,476.32, 105,656.16 and 26,094.80 is: 39,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476.32 : 105,656.16 = 26,094.80 : x
  2. Step 2: Convert to fraction form
    70,476.32/105,656.16 = 26,094.80/x
  3. Step 3: Cross multiply
    70,476.32x = 105,656.16 × 26,094.80
  4. Step 4: Simplify right side
    70,476.32x = 2,757,076,363.97
  5. Step 5: Solve for x
    x = 2,757,076,363.97/70,476.32
  6. Step 6: Final answer
    x = 39,120.61

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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.