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Finding the Fourth Proportional to 37,484.30, 56,226.45 and 9,782.30

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Solution

The fourth proportional to 37,484.30, 56,226.45 and 9,782.30 is: 14,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,484.30 : 56,226.45 = 9,782.30 : x
  2. Step 2: Convert to fraction form
    37,484.30/56,226.45 = 9,782.30/x
  3. Step 3: Cross multiply
    37,484.30x = 56,226.45 × 9,782.30
  4. Step 4: Simplify right side
    37,484.30x = 550,024,001.84
  5. Step 5: Solve for x
    x = 550,024,001.84/37,484.30
  6. Step 6: Final answer
    x = 14,673.45

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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.