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Finding the Fourth Proportional to 32,564.30, 48,845.54 and 10,379.01

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Solution

The fourth proportional to 32,564.30, 48,845.54 and 10,379.01 is: 15,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.30 : 48,845.54 = 10,379.01 : x
  2. Step 2: Convert to fraction form
    32,564.30/48,845.54 = 10,379.01/x
  3. Step 3: Cross multiply
    32,564.30x = 48,845.54 × 10,379.01
  4. Step 4: Simplify right side
    32,564.30x = 506,968,113.05
  5. Step 5: Solve for x
    x = 506,968,113.05/32,564.30
  6. Step 6: Final answer
    x = 15,568.22

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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.