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Finding the Fourth Proportional to 30,281.34, 45,423.51 and 11,557.86

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Solution

The fourth proportional to 30,281.34, 45,423.51 and 11,557.86 is: 17,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.34 : 45,423.51 = 11,557.86 : x
  2. Step 2: Convert to fraction form
    30,281.34/45,423.51 = 11,557.86/x
  3. Step 3: Cross multiply
    30,281.34x = 45,423.51 × 11,557.86
  4. Step 4: Simplify right side
    30,281.34x = 524,998,569.29
  5. Step 5: Solve for x
    x = 524,998,569.29/30,281.34
  6. Step 6: Final answer
    x = 17,337.36

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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.