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Finding the Fourth Proportional to 30,362.68, 45,546.18 and 9,586

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Solution

The fourth proportional to 30,362.68, 45,546.18 and 9,586 is: 14,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362.68 : 45,546.18 = 9,586 : x
  2. Step 2: Convert to fraction form
    30,362.68/45,546.18 = 9,586/x
  3. Step 3: Cross multiply
    30,362.68x = 45,546.18 × 9,586
  4. Step 4: Simplify right side
    30,362.68x = 436,605,681.48
  5. Step 5: Solve for x
    x = 436,605,681.48/30,362.68
  6. Step 6: Final answer
    x = 14,379.68

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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.