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Finding the Fourth Proportional to 32,406.58, 44,741.72 and 26,452.40

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Solution

The fourth proportional to 32,406.58, 44,741.72 and 26,452.40 is: 36,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.58 : 44,741.72 = 26,452.40 : x
  2. Step 2: Convert to fraction form
    32,406.58/44,741.72 = 26,452.40/x
  3. Step 3: Cross multiply
    32,406.58x = 44,741.72 × 26,452.40
  4. Step 4: Simplify right side
    32,406.58x = 1,183,525,741.87
  5. Step 5: Solve for x
    x = 1,183,525,741.87/32,406.58
  6. Step 6: Final answer
    x = 36,521.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.