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Finding the Fourth Proportional to 30,073.24, 45,095.64 and 9,005.16

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Solution

The fourth proportional to 30,073.24, 45,095.64 and 9,005.16 is: 13,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073.24 : 45,095.64 = 9,005.16 : x
  2. Step 2: Convert to fraction form
    30,073.24/45,095.64 = 9,005.16/x
  3. Step 3: Cross multiply
    30,073.24x = 45,095.64 × 9,005.16
  4. Step 4: Simplify right side
    30,073.24x = 406,093,453.50
  5. Step 5: Solve for x
    x = 406,093,453.50/30,073.24
  6. Step 6: Final answer
    x = 13,503.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.