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Finding the Fourth Proportional to 70,001.76, 105,002.44 and 17,411.25

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Solution

The fourth proportional to 70,001.76, 105,002.44 and 17,411.25 is: 26,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,001.76 : 105,002.44 = 17,411.25 : x
  2. Step 2: Convert to fraction form
    70,001.76/105,002.44 = 17,411.25/x
  3. Step 3: Cross multiply
    70,001.76x = 105,002.44 × 17,411.25
  4. Step 4: Simplify right side
    70,001.76x = 1,828,223,197.72
  5. Step 5: Solve for x
    x = 1,828,223,197.72/70,001.76
  6. Step 6: Final answer
    x = 26,116.82

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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.