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Finding the Fourth Proportional to 70,971.84, 106,465.98 and 23,591.16

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Solution

The fourth proportional to 70,971.84, 106,465.98 and 23,591.16 is: 35,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.84 : 106,465.98 = 23,591.16 : x
  2. Step 2: Convert to fraction form
    70,971.84/106,465.98 = 23,591.16/x
  3. Step 3: Cross multiply
    70,971.84x = 106,465.98 × 23,591.16
  4. Step 4: Simplify right side
    70,971.84x = 2,511,655,968.74
  5. Step 5: Solve for x
    x = 2,511,655,968.74/70,971.84
  6. Step 6: Final answer
    x = 35,389.47

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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.