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Finding the Fourth Proportional to 80,447.98, 120,547.14 and 30,501.22

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Solution

The fourth proportional to 80,447.98, 120,547.14 and 30,501.22 is: 45,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,447.98 : 120,547.14 = 30,501.22 : x
  2. Step 2: Convert to fraction form
    80,447.98/120,547.14 = 30,501.22/x
  3. Step 3: Cross multiply
    80,447.98x = 120,547.14 × 30,501.22
  4. Step 4: Simplify right side
    80,447.98x = 3,676,834,837.51
  5. Step 5: Solve for x
    x = 3,676,834,837.51/80,447.98
  6. Step 6: Final answer
    x = 45,704.50

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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.