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Finding the Fourth Proportional to 37,404, 56,106 and 14,041.44

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Solution

The fourth proportional to 37,404, 56,106 and 14,041.44 is: 21,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,404 : 56,106 = 14,041.44 : x
  2. Step 2: Convert to fraction form
    37,404/56,106 = 14,041.44/x
  3. Step 3: Cross multiply
    37,404x = 56,106 × 14,041.44
  4. Step 4: Simplify right side
    37,404x = 787,809,032.64
  5. Step 5: Solve for x
    x = 787,809,032.64/37,404
  6. Step 6: Final answer
    x = 21,062.16

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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.