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Finding the Fourth Proportional to 70,275.24, 105,447.49 and 32,837.90

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Solution

The fourth proportional to 70,275.24, 105,447.49 and 32,837.90 is: 49,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,275.24 : 105,447.49 = 32,837.90 : x
  2. Step 2: Convert to fraction form
    70,275.24/105,447.49 = 32,837.90/x
  3. Step 3: Cross multiply
    70,275.24x = 105,447.49 × 32,837.90
  4. Step 4: Simplify right side
    70,275.24x = 3,462,674,477.58
  5. Step 5: Solve for x
    x = 3,462,674,477.58/70,275.24
  6. Step 6: Final answer
    x = 49,273.03

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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.