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Finding the Fourth Proportional to 73,100.80, 109,651.20 and 31,547.80

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Solution

The fourth proportional to 73,100.80, 109,651.20 and 31,547.80 is: 47,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100.80 : 109,651.20 = 31,547.80 : x
  2. Step 2: Convert to fraction form
    73,100.80/109,651.20 = 31,547.80/x
  3. Step 3: Cross multiply
    73,100.80x = 109,651.20 × 31,547.80
  4. Step 4: Simplify right side
    73,100.80x = 3,459,254,127.36
  5. Step 5: Solve for x
    x = 3,459,254,127.36/73,100.80
  6. Step 6: Final answer
    x = 47,321.70

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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.