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Finding the Fourth Proportional to 37,848.40, 56,772.32 and 9,766.06

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Solution

The fourth proportional to 37,848.40, 56,772.32 and 9,766.06 is: 14,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,848.40 : 56,772.32 = 9,766.06 : x
  2. Step 2: Convert to fraction form
    37,848.40/56,772.32 = 9,766.06/x
  3. Step 3: Cross multiply
    37,848.40x = 56,772.32 × 9,766.06
  4. Step 4: Simplify right side
    37,848.40x = 554,441,692.70
  5. Step 5: Solve for x
    x = 554,441,692.70/37,848.40
  6. Step 6: Final answer
    x = 14,649.01

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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.