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Finding the Fourth Proportional to 30,117, 45,176.58 and 9,339.96

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Solution

The fourth proportional to 30,117, 45,176.58 and 9,339.96 is: 14,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117 : 45,176.58 = 9,339.96 : x
  2. Step 2: Convert to fraction form
    30,117/45,176.58 = 9,339.96/x
  3. Step 3: Cross multiply
    30,117x = 45,176.58 × 9,339.96
  4. Step 4: Simplify right side
    30,117x = 421,947,450.14
  5. Step 5: Solve for x
    x = 421,947,450.14/30,117
  6. Step 6: Final answer
    x = 14,010.27

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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.