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Finding the Fourth Proportional to 29,691.72, 44,536.02 and 9,970.68

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Solution

The fourth proportional to 29,691.72, 44,536.02 and 9,970.68 is: 14,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.72 : 44,536.02 = 9,970.68 : x
  2. Step 2: Convert to fraction form
    29,691.72/44,536.02 = 9,970.68/x
  3. Step 3: Cross multiply
    29,691.72x = 44,536.02 × 9,970.68
  4. Step 4: Simplify right side
    29,691.72x = 444,054,403.89
  5. Step 5: Solve for x
    x = 444,054,403.89/29,691.72
  6. Step 6: Final answer
    x = 14,955.50

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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.