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Finding the Fourth Proportional to 30,697.16, 46,008 and 15,897.62

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Solution

The fourth proportional to 30,697.16, 46,008 and 15,897.62 is: 23,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.16 : 46,008 = 15,897.62 : x
  2. Step 2: Convert to fraction form
    30,697.16/46,008 = 15,897.62/x
  3. Step 3: Cross multiply
    30,697.16x = 46,008 × 15,897.62
  4. Step 4: Simplify right side
    30,697.16x = 731,417,700.96
  5. Step 5: Solve for x
    x = 731,417,700.96/30,697.16
  6. Step 6: Final answer
    x = 23,826.88

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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.