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Finding the Fourth Proportional to 29,613, 44,419.50 and 7,725

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Solution

The fourth proportional to 29,613, 44,419.50 and 7,725 is: 11,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613 : 44,419.50 = 7,725 : x
  2. Step 2: Convert to fraction form
    29,613/44,419.50 = 7,725/x
  3. Step 3: Cross multiply
    29,613x = 44,419.50 × 7,725
  4. Step 4: Simplify right side
    29,613x = 343,140,637.50
  5. Step 5: Solve for x
    x = 343,140,637.50/29,613
  6. Step 6: Final answer
    x = 11,587.50

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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.