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Finding the Fourth Proportional to 30,987, 46,649.10 and 28,231.38

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Solution

The fourth proportional to 30,987, 46,649.10 and 28,231.38 is: 42,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987 : 46,649.10 = 28,231.38 : x
  2. Step 2: Convert to fraction form
    30,987/46,649.10 = 28,231.38/x
  3. Step 3: Cross multiply
    30,987x = 46,649.10 × 28,231.38
  4. Step 4: Simplify right side
    30,987x = 1,316,968,468.76
  5. Step 5: Solve for x
    x = 1,316,968,468.76/30,987
  6. Step 6: Final answer
    x = 42,500.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.