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Finding the Fourth Proportional to 30,291.44, 45,424.20 and 10,564.16

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Solution

The fourth proportional to 30,291.44, 45,424.20 and 10,564.16 is: 15,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.44 : 45,424.20 = 10,564.16 : x
  2. Step 2: Convert to fraction form
    30,291.44/45,424.20 = 10,564.16/x
  3. Step 3: Cross multiply
    30,291.44x = 45,424.20 × 10,564.16
  4. Step 4: Simplify right side
    30,291.44x = 479,868,516.67
  5. Step 5: Solve for x
    x = 479,868,516.67/30,291.44
  6. Step 6: Final answer
    x = 15,841.72

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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.