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Finding the Fourth Proportional to 37,534.72, 56,224.08 and 17,828.80

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Solution

The fourth proportional to 37,534.72, 56,224.08 and 17,828.80 is: 26,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,534.72 : 56,224.08 = 17,828.80 : x
  2. Step 2: Convert to fraction form
    37,534.72/56,224.08 = 17,828.80/x
  3. Step 3: Cross multiply
    37,534.72x = 56,224.08 × 17,828.80
  4. Step 4: Simplify right side
    37,534.72x = 1,002,407,877.50
  5. Step 5: Solve for x
    x = 1,002,407,877.50/37,534.72
  6. Step 6: Final answer
    x = 26,706.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.