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Finding the Fourth Proportional to 70,411.61, 105,617.32 and 23,697.29

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Solution

The fourth proportional to 70,411.61, 105,617.32 and 23,697.29 is: 35,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.61 : 105,617.32 = 23,697.29 : x
  2. Step 2: Convert to fraction form
    70,411.61/105,617.32 = 23,697.29/x
  3. Step 3: Cross multiply
    70,411.61x = 105,617.32 × 23,697.29
  4. Step 4: Simplify right side
    70,411.61x = 2,502,844,261.06
  5. Step 5: Solve for x
    x = 2,502,844,261.06/70,411.61
  6. Step 6: Final answer
    x = 35,545.90

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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.