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Finding the Fourth Proportional to 53,538.80, 73,886.81 and 30,877.38

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Solution

The fourth proportional to 53,538.80, 73,886.81 and 30,877.38 is: 42,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.80 : 73,886.81 = 30,877.38 : x
  2. Step 2: Convert to fraction form
    53,538.80/73,886.81 = 30,877.38/x
  3. Step 3: Cross multiply
    53,538.80x = 73,886.81 × 30,877.38
  4. Step 4: Simplify right side
    53,538.80x = 2,281,430,834.01
  5. Step 5: Solve for x
    x = 2,281,430,834.01/53,538.80
  6. Step 6: Final answer
    x = 42,612.66

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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.