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Finding the Fourth Proportional to 30,068.24, 45,088.14 and 9,000.16

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Solution

The fourth proportional to 30,068.24, 45,088.14 and 9,000.16 is: 13,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,068.24 : 45,088.14 = 9,000.16 : x
  2. Step 2: Convert to fraction form
    30,068.24/45,088.14 = 9,000.16/x
  3. Step 3: Cross multiply
    30,068.24x = 45,088.14 × 9,000.16
  4. Step 4: Simplify right side
    30,068.24x = 405,800,474.10
  5. Step 5: Solve for x
    x = 405,800,474.10/30,068.24
  6. Step 6: Final answer
    x = 13,495.98

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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.