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Finding the Fourth Proportional to 37,776, 56,648.88 and 11,475.84

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Solution

The fourth proportional to 37,776, 56,648.88 and 11,475.84 is: 17,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776 : 56,648.88 = 11,475.84 : x
  2. Step 2: Convert to fraction form
    37,776/56,648.88 = 11,475.84/x
  3. Step 3: Cross multiply
    37,776x = 56,648.88 × 11,475.84
  4. Step 4: Simplify right side
    37,776x = 650,093,483.06
  5. Step 5: Solve for x
    x = 650,093,483.06/37,776
  6. Step 6: Final answer
    x = 17,209.17

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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.