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Finding the Fourth Proportional to 29,530.63, 44,301.65 and 9,545.50

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Solution

The fourth proportional to 29,530.63, 44,301.65 and 9,545.50 is: 14,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,530.63 : 44,301.65 = 9,545.50 : x
  2. Step 2: Convert to fraction form
    29,530.63/44,301.65 = 9,545.50/x
  3. Step 3: Cross multiply
    29,530.63x = 44,301.65 × 9,545.50
  4. Step 4: Simplify right side
    29,530.63x = 422,881,241.59
  5. Step 5: Solve for x
    x = 422,881,241.59/29,530.63
  6. Step 6: Final answer
    x = 14,320.09

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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.