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Finding the Fourth Proportional to 53,016.16, 73,165.75 and 32,886.41

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Solution

The fourth proportional to 53,016.16, 73,165.75 and 32,886.41 is: 45,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,016.16 : 73,165.75 = 32,886.41 : x
  2. Step 2: Convert to fraction form
    53,016.16/73,165.75 = 32,886.41/x
  3. Step 3: Cross multiply
    53,016.16x = 73,165.75 × 32,886.41
  4. Step 4: Simplify right side
    53,016.16x = 2,406,158,322.20
  5. Step 5: Solve for x
    x = 2,406,158,322.20/53,016.16
  6. Step 6: Final answer
    x = 45,385.38

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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.