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Finding the Fourth Proportional to 73,802.40, 110,685.60 and 21,206.40

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Solution

The fourth proportional to 73,802.40, 110,685.60 and 21,206.40 is: 31,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802.40 : 110,685.60 = 21,206.40 : x
  2. Step 2: Convert to fraction form
    73,802.40/110,685.60 = 21,206.40/x
  3. Step 3: Cross multiply
    73,802.40x = 110,685.60 × 21,206.40
  4. Step 4: Simplify right side
    73,802.40x = 2,347,243,107.84
  5. Step 5: Solve for x
    x = 2,347,243,107.84/73,802.40
  6. Step 6: Final answer
    x = 31,804.43

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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.