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Finding the Fourth Proportional to 70,807.83, 106,211.75 and 26,438.05

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Solution

The fourth proportional to 70,807.83, 106,211.75 and 26,438.05 is: 39,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807.83 : 106,211.75 = 26,438.05 : x
  2. Step 2: Convert to fraction form
    70,807.83/106,211.75 = 26,438.05/x
  3. Step 3: Cross multiply
    70,807.83x = 106,211.75 × 26,438.05
  4. Step 4: Simplify right side
    70,807.83x = 2,808,031,557.09
  5. Step 5: Solve for x
    x = 2,808,031,557.09/70,807.83
  6. Step 6: Final answer
    x = 39,657.08

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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.