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Finding the Fourth Proportional to 30,570.72, 45,856.16 and 15,776.96

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Solution

The fourth proportional to 30,570.72, 45,856.16 and 15,776.96 is: 23,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.72 : 45,856.16 = 15,776.96 : x
  2. Step 2: Convert to fraction form
    30,570.72/45,856.16 = 15,776.96/x
  3. Step 3: Cross multiply
    30,570.72x = 45,856.16 × 15,776.96
  4. Step 4: Simplify right side
    30,570.72x = 723,470,802.07
  5. Step 5: Solve for x
    x = 723,470,802.07/30,570.72
  6. Step 6: Final answer
    x = 23,665.48

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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.