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Finding the Fourth Proportional to 30,875.76, 46,324.80 and 12,145.46

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Solution

The fourth proportional to 30,875.76, 46,324.80 and 12,145.46 is: 18,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.76 : 46,324.80 = 12,145.46 : x
  2. Step 2: Convert to fraction form
    30,875.76/46,324.80 = 12,145.46/x
  3. Step 3: Cross multiply
    30,875.76x = 46,324.80 × 12,145.46
  4. Step 4: Simplify right side
    30,875.76x = 562,635,773.78
  5. Step 5: Solve for x
    x = 562,635,773.78/30,875.76
  6. Step 6: Final answer
    x = 18,222.57

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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.