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Finding the Fourth Proportional to 30,309.60, 45,471.66 and 9,533.10

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Solution

The fourth proportional to 30,309.60, 45,471.66 and 9,533.10 is: 14,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.60 : 45,471.66 = 9,533.10 : x
  2. Step 2: Convert to fraction form
    30,309.60/45,471.66 = 9,533.10/x
  3. Step 3: Cross multiply
    30,309.60x = 45,471.66 × 9,533.10
  4. Step 4: Simplify right side
    30,309.60x = 433,485,881.95
  5. Step 5: Solve for x
    x = 433,485,881.95/30,309.60
  6. Step 6: Final answer
    x = 14,301.93

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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.