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Finding the Fourth Proportional to 30,456.30, 45,678.86 and 13,812.32

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Solution

The fourth proportional to 30,456.30, 45,678.86 and 13,812.32 is: 20,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.30 : 45,678.86 = 13,812.32 : x
  2. Step 2: Convert to fraction form
    30,456.30/45,678.86 = 13,812.32/x
  3. Step 3: Cross multiply
    30,456.30x = 45,678.86 × 13,812.32
  4. Step 4: Simplify right side
    30,456.30x = 630,931,031.56
  5. Step 5: Solve for x
    x = 630,931,031.56/30,456.30
  6. Step 6: Final answer
    x = 20,715.94

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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.