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Finding the Fourth Proportional to 32,749.89, 49,083.74 and 14,007.89

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Solution

The fourth proportional to 32,749.89, 49,083.74 and 14,007.89 is: 20,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.89 : 49,083.74 = 14,007.89 : x
  2. Step 2: Convert to fraction form
    32,749.89/49,083.74 = 14,007.89/x
  3. Step 3: Cross multiply
    32,749.89x = 49,083.74 × 14,007.89
  4. Step 4: Simplify right side
    32,749.89x = 687,559,315.25
  5. Step 5: Solve for x
    x = 687,559,315.25/32,749.89
  6. Step 6: Final answer
    x = 20,994.25

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1.5x scale

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.