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Finding the Fourth Proportional to 30,055.16, 45,078.77 and 13,411.34

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Solution

The fourth proportional to 30,055.16, 45,078.77 and 13,411.34 is: 20,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.16 : 45,078.77 = 13,411.34 : x
  2. Step 2: Convert to fraction form
    30,055.16/45,078.77 = 13,411.34/x
  3. Step 3: Cross multiply
    30,055.16x = 45,078.77 × 13,411.34
  4. Step 4: Simplify right side
    30,055.16x = 604,566,688.43
  5. Step 5: Solve for x
    x = 604,566,688.43/30,055.16
  6. Step 6: Final answer
    x = 20,115.24

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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.