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Finding the Fourth Proportional to 53,535, 73,880.24 and 32,310.12

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Solution

The fourth proportional to 53,535, 73,880.24 and 32,310.12 is: 44,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,535 : 73,880.24 = 32,310.12 : x
  2. Step 2: Convert to fraction form
    53,535/73,880.24 = 32,310.12/x
  3. Step 3: Cross multiply
    53,535x = 73,880.24 × 32,310.12
  4. Step 4: Simplify right side
    53,535x = 2,387,079,420.03
  5. Step 5: Solve for x
    x = 2,387,079,420.03/53,535
  6. Step 6: Final answer
    x = 44,589.14

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1.5x scale

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.