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Finding the Fourth Proportional to 30,649.68, 46,032.84 and 19,044

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Solution

The fourth proportional to 30,649.68, 46,032.84 and 19,044 is: 28,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.68 : 46,032.84 = 19,044 : x
  2. Step 2: Convert to fraction form
    30,649.68/46,032.84 = 19,044/x
  3. Step 3: Cross multiply
    30,649.68x = 46,032.84 × 19,044
  4. Step 4: Simplify right side
    30,649.68x = 876,649,404.96
  5. Step 5: Solve for x
    x = 876,649,404.96/30,649.68
  6. Step 6: Final answer
    x = 28,602.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.