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Finding the Fourth Proportional to 30,078.48, 45,128.18 and 13,436.90

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Solution

The fourth proportional to 30,078.48, 45,128.18 and 13,436.90 is: 20,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.48 : 45,128.18 = 13,436.90 : x
  2. Step 2: Convert to fraction form
    30,078.48/45,128.18 = 13,436.90/x
  3. Step 3: Cross multiply
    30,078.48x = 45,128.18 × 13,436.90
  4. Step 4: Simplify right side
    30,078.48x = 606,382,841.84
  5. Step 5: Solve for x
    x = 606,382,841.84/30,078.48
  6. Step 6: Final answer
    x = 20,160.02

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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.