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Finding the Fourth Proportional to 30,688.96, 46,029.44 and 14,044.16

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Solution

The fourth proportional to 30,688.96, 46,029.44 and 14,044.16 is: 21,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.96 : 46,029.44 = 14,044.16 : x
  2. Step 2: Convert to fraction form
    30,688.96/46,029.44 = 14,044.16/x
  3. Step 3: Cross multiply
    30,688.96x = 46,029.44 × 14,044.16
  4. Step 4: Simplify right side
    30,688.96x = 646,444,820.07
  5. Step 5: Solve for x
    x = 646,444,820.07/30,688.96
  6. Step 6: Final answer
    x = 21,064.41

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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.