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Finding the Fourth Proportional to 30,752.94, 42,610.11 and 30,088.38

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Solution

The fourth proportional to 30,752.94, 42,610.11 and 30,088.38 is: 41,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.94 : 42,610.11 = 30,088.38 : x
  2. Step 2: Convert to fraction form
    30,752.94/42,610.11 = 30,088.38/x
  3. Step 3: Cross multiply
    30,752.94x = 42,610.11 × 30,088.38
  4. Step 4: Simplify right side
    30,752.94x = 1,282,069,181.52
  5. Step 5: Solve for x
    x = 1,282,069,181.52/30,752.94
  6. Step 6: Final answer
    x = 41,689.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.