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Finding the Fourth Proportional to 53,595.40, 73,876.40 and 42,246.48

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Solution

The fourth proportional to 53,595.40, 73,876.40 and 42,246.48 is: 58,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,595.40 : 73,876.40 = 42,246.48 : x
  2. Step 2: Convert to fraction form
    53,595.40/73,876.40 = 42,246.48/x
  3. Step 3: Cross multiply
    53,595.40x = 73,876.40 × 42,246.48
  4. Step 4: Simplify right side
    53,595.40x = 3,121,017,855.07
  5. Step 5: Solve for x
    x = 3,121,017,855.07/53,595.40
  6. Step 6: Final answer
    x = 58,232.94

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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.