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Finding the Fourth Proportional to 53,506.38, 73,814.30 and 34,649.58

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Solution

The fourth proportional to 53,506.38, 73,814.30 and 34,649.58 is: 47,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,506.38 : 73,814.30 = 34,649.58 : x
  2. Step 2: Convert to fraction form
    53,506.38/73,814.30 = 34,649.58/x
  3. Step 3: Cross multiply
    53,506.38x = 73,814.30 × 34,649.58
  4. Step 4: Simplify right side
    53,506.38x = 2,557,634,492.99
  5. Step 5: Solve for x
    x = 2,557,634,492.99/53,506.38
  6. Step 6: Final answer
    x = 47,800.55

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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.