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Finding the Fourth Proportional to 37,470.16, 56,203.94 and 9,390.46

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Solution

The fourth proportional to 37,470.16, 56,203.94 and 9,390.46 is: 14,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470.16 : 56,203.94 = 9,390.46 : x
  2. Step 2: Convert to fraction form
    37,470.16/56,203.94 = 9,390.46/x
  3. Step 3: Cross multiply
    37,470.16x = 56,203.94 × 9,390.46
  4. Step 4: Simplify right side
    37,470.16x = 527,780,850.41
  5. Step 5: Solve for x
    x = 527,780,850.41/37,470.16
  6. Step 6: Final answer
    x = 14,085.36

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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.