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Finding the Fourth Proportional to 71,058.84, 106,565.15 and 23,661.18

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Solution

The fourth proportional to 71,058.84, 106,565.15 and 23,661.18 is: 35,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,058.84 : 106,565.15 = 23,661.18 : x
  2. Step 2: Convert to fraction form
    71,058.84/106,565.15 = 23,661.18/x
  3. Step 3: Cross multiply
    71,058.84x = 106,565.15 × 23,661.18
  4. Step 4: Simplify right side
    71,058.84x = 2,521,457,255.03
  5. Step 5: Solve for x
    x = 2,521,457,255.03/71,058.84
  6. Step 6: Final answer
    x = 35,484.08

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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.