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Finding the Fourth Proportional to 30,188.90, 45,289.74 and 9,130.52

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Solution

The fourth proportional to 30,188.90, 45,289.74 and 9,130.52 is: 13,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.90 : 45,289.74 = 9,130.52 : x
  2. Step 2: Convert to fraction form
    30,188.90/45,289.74 = 9,130.52/x
  3. Step 3: Cross multiply
    30,188.90x = 45,289.74 × 9,130.52
  4. Step 4: Simplify right side
    30,188.90x = 413,518,876.86
  5. Step 5: Solve for x
    x = 413,518,876.86/30,188.90
  6. Step 6: Final answer
    x = 13,697.71

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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.