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Finding the Fourth Proportional to 53,114.32, 73,310.23 and 30,452.91

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Solution

The fourth proportional to 53,114.32, 73,310.23 and 30,452.91 is: 42,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114.32 : 73,310.23 = 30,452.91 : x
  2. Step 2: Convert to fraction form
    53,114.32/73,310.23 = 30,452.91/x
  3. Step 3: Cross multiply
    53,114.32x = 73,310.23 × 30,452.91
  4. Step 4: Simplify right side
    53,114.32x = 2,232,509,599.42
  5. Step 5: Solve for x
    x = 2,232,509,599.42/53,114.32
  6. Step 6: Final answer
    x = 42,032.16

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