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Finding the Fourth Proportional to 70,294.91, 105,389.66 and 22,881.66

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Solution

The fourth proportional to 70,294.91, 105,389.66 and 22,881.66 is: 34,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294.91 : 105,389.66 = 22,881.66 : x
  2. Step 2: Convert to fraction form
    70,294.91/105,389.66 = 22,881.66/x
  3. Step 3: Cross multiply
    70,294.91x = 105,389.66 × 22,881.66
  4. Step 4: Simplify right side
    70,294.91x = 2,411,490,424.84
  5. Step 5: Solve for x
    x = 2,411,490,424.84/70,294.91
  6. Step 6: Final answer
    x = 34,305.33

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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.