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Finding the Fourth Proportional to 30,985.18, 42,759.81 and 16,838.01

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Solution

The fourth proportional to 30,985.18, 42,759.81 and 16,838.01 is: 23,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.18 : 42,759.81 = 16,838.01 : x
  2. Step 2: Convert to fraction form
    30,985.18/42,759.81 = 16,838.01/x
  3. Step 3: Cross multiply
    30,985.18x = 42,759.81 × 16,838.01
  4. Step 4: Simplify right side
    30,985.18x = 719,990,108.38
  5. Step 5: Solve for x
    x = 719,990,108.38/30,985.18
  6. Step 6: Final answer
    x = 23,236.60

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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.