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Finding the Fourth Proportional to 32,030.24, 48,040.90 and 9,837.45

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Solution

The fourth proportional to 32,030.24, 48,040.90 and 9,837.45 is: 14,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.24 : 48,040.90 = 9,837.45 : x
  2. Step 2: Convert to fraction form
    32,030.24/48,040.90 = 9,837.45/x
  3. Step 3: Cross multiply
    32,030.24x = 48,040.90 × 9,837.45
  4. Step 4: Simplify right side
    32,030.24x = 472,599,927.11
  5. Step 5: Solve for x
    x = 472,599,927.11/32,030.24
  6. Step 6: Final answer
    x = 14,754.81

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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.