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Finding the Fourth Proportional to 30,008.16, 41,384.32 and 24,989

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Solution

The fourth proportional to 30,008.16, 41,384.32 and 24,989 is: 34,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008.16 : 41,384.32 = 24,989 : x
  2. Step 2: Convert to fraction form
    30,008.16/41,384.32 = 24,989/x
  3. Step 3: Cross multiply
    30,008.16x = 41,384.32 × 24,989
  4. Step 4: Simplify right side
    30,008.16x = 1,034,152,772.48
  5. Step 5: Solve for x
    x = 1,034,152,772.48/30,008.16
  6. Step 6: Final answer
    x = 34,462.39

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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.