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Finding the Fourth Proportional to 70,476.55, 105,712.77 and 26,102.32

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Solution

The fourth proportional to 70,476.55, 105,712.77 and 26,102.32 is: 39,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476.55 : 105,712.77 = 26,102.32 : x
  2. Step 2: Convert to fraction form
    70,476.55/105,712.77 = 26,102.32/x
  3. Step 3: Cross multiply
    70,476.55x = 105,712.77 × 26,102.32
  4. Step 4: Simplify right side
    70,476.55x = 2,759,348,022.06
  5. Step 5: Solve for x
    x = 2,759,348,022.06/70,476.55
  6. Step 6: Final answer
    x = 39,152.71

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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.