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Finding the Fourth Proportional to 70,002.33, 105,003.28 and 17,411.81

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Solution

The fourth proportional to 70,002.33, 105,003.28 and 17,411.81 is: 26,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002.33 : 105,003.28 = 17,411.81 : x
  2. Step 2: Convert to fraction form
    70,002.33/105,003.28 = 17,411.81/x
  3. Step 3: Cross multiply
    70,002.33x = 105,003.28 × 17,411.81
  4. Step 4: Simplify right side
    70,002.33x = 1,828,297,248.13
  5. Step 5: Solve for x
    x = 1,828,297,248.13/70,002.33
  6. Step 6: Final answer
    x = 26,117.66

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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.