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Finding the Fourth Proportional to 30,104.51, 45,156.78 and 12,564.77

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Solution

The fourth proportional to 30,104.51, 45,156.78 and 12,564.77 is: 18,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.51 : 45,156.78 = 12,564.77 : x
  2. Step 2: Convert to fraction form
    30,104.51/45,156.78 = 12,564.77/x
  3. Step 3: Cross multiply
    30,104.51x = 45,156.78 × 12,564.77
  4. Step 4: Simplify right side
    30,104.51x = 567,384,328.86
  5. Step 5: Solve for x
    x = 567,384,328.86/30,104.51
  6. Step 6: Final answer
    x = 18,847.16

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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.