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Finding the Fourth Proportional to 30,166.16, 45,232.80 and 10,443.08

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Solution

The fourth proportional to 30,166.16, 45,232.80 and 10,443.08 is: 15,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.16 : 45,232.80 = 10,443.08 : x
  2. Step 2: Convert to fraction form
    30,166.16/45,232.80 = 10,443.08/x
  3. Step 3: Cross multiply
    30,166.16x = 45,232.80 × 10,443.08
  4. Step 4: Simplify right side
    30,166.16x = 472,369,749.02
  5. Step 5: Solve for x
    x = 472,369,749.02/30,166.16
  6. Step 6: Final answer
    x = 15,658.93

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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.