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Finding the Fourth Proportional to 29,730.58, 44,564.65 and 10,002.29

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Solution

The fourth proportional to 29,730.58, 44,564.65 and 10,002.29 is: 14,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730.58 : 44,564.65 = 10,002.29 : x
  2. Step 2: Convert to fraction form
    29,730.58/44,564.65 = 10,002.29/x
  3. Step 3: Cross multiply
    29,730.58x = 44,564.65 × 10,002.29
  4. Step 4: Simplify right side
    29,730.58x = 445,748,305.22
  5. Step 5: Solve for x
    x = 445,748,305.22/29,730.58
  6. Step 6: Final answer
    x = 14,992.92

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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.