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Finding the Fourth Proportional to 52,196.38, 72,030.74 and 28,323

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Solution

The fourth proportional to 52,196.38, 72,030.74 and 28,323 is: 39,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,196.38 : 72,030.74 = 28,323 : x
  2. Step 2: Convert to fraction form
    52,196.38/72,030.74 = 28,323/x
  3. Step 3: Cross multiply
    52,196.38x = 72,030.74 × 28,323
  4. Step 4: Simplify right side
    52,196.38x = 2,040,126,649.02
  5. Step 5: Solve for x
    x = 2,040,126,649.02/52,196.38
  6. Step 6: Final answer
    x = 39,085.60

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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.