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Finding the Fourth Proportional to 32,437, 48,670.14 and 18,586

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Solution

The fourth proportional to 32,437, 48,670.14 and 18,586 is: 27,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437 : 48,670.14 = 18,586 : x
  2. Step 2: Convert to fraction form
    32,437/48,670.14 = 18,586/x
  3. Step 3: Cross multiply
    32,437x = 48,670.14 × 18,586
  4. Step 4: Simplify right side
    32,437x = 904,583,222.04
  5. Step 5: Solve for x
    x = 904,583,222.04/32,437
  6. Step 6: Final answer
    x = 27,887.39

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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.