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Finding the Fourth Proportional to 70,833, 106,267.74 and 26,460.06

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Solution

The fourth proportional to 70,833, 106,267.74 and 26,460.06 is: 39,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,833 : 106,267.74 = 26,460.06 : x
  2. Step 2: Convert to fraction form
    70,833/106,267.74 = 26,460.06/x
  3. Step 3: Cross multiply
    70,833x = 106,267.74 × 26,460.06
  4. Step 4: Simplify right side
    70,833x = 2,811,850,776.46
  5. Step 5: Solve for x
    x = 2,811,850,776.46/70,833
  6. Step 6: Final answer
    x = 39,696.90

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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.