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Finding the Fourth Proportional to 30,078.08, 45,122.60 and 10,085.60

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Solution

The fourth proportional to 30,078.08, 45,122.60 and 10,085.60 is: 15,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.08 : 45,122.60 = 10,085.60 : x
  2. Step 2: Convert to fraction form
    30,078.08/45,122.60 = 10,085.60/x
  3. Step 3: Cross multiply
    30,078.08x = 45,122.60 × 10,085.60
  4. Step 4: Simplify right side
    30,078.08x = 455,088,494.56
  5. Step 5: Solve for x
    x = 455,088,494.56/30,078.08
  6. Step 6: Final answer
    x = 15,130.24

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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.