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Finding the Fourth Proportional to 30,498.17, 45,748.62 and 13,399.93

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Solution

The fourth proportional to 30,498.17, 45,748.62 and 13,399.93 is: 20,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.17 : 45,748.62 = 13,399.93 : x
  2. Step 2: Convert to fraction form
    30,498.17/45,748.62 = 13,399.93/x
  3. Step 3: Cross multiply
    30,498.17x = 45,748.62 × 13,399.93
  4. Step 4: Simplify right side
    30,498.17x = 613,028,400.47
  5. Step 5: Solve for x
    x = 613,028,400.47/30,498.17
  6. Step 6: Final answer
    x = 20,100.50

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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.