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Finding the Fourth Proportional to 30,188.16, 45,279.36 and 9,400.32

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Solution

The fourth proportional to 30,188.16, 45,279.36 and 9,400.32 is: 14,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.16 : 45,279.36 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    30,188.16/45,279.36 = 9,400.32/x
  3. Step 3: Cross multiply
    30,188.16x = 45,279.36 × 9,400.32
  4. Step 4: Simplify right side
    30,188.16x = 425,640,473.40
  5. Step 5: Solve for x
    x = 425,640,473.40/30,188.16
  6. Step 6: Final answer
    x = 14,099.58

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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.