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Finding the Fourth Proportional to 30,501.02, 45,758.28 and 9,724.52

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Solution

The fourth proportional to 30,501.02, 45,758.28 and 9,724.52 is: 14,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.02 : 45,758.28 = 9,724.52 : x
  2. Step 2: Convert to fraction form
    30,501.02/45,758.28 = 9,724.52/x
  3. Step 3: Cross multiply
    30,501.02x = 45,758.28 × 9,724.52
  4. Step 4: Simplify right side
    30,501.02x = 444,977,309.03
  5. Step 5: Solve for x
    x = 444,977,309.03/30,501.02
  6. Step 6: Final answer
    x = 14,588.93

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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.