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Finding the Fourth Proportional to 56,537.84, 84,816.53 and 19,098.18

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Solution

The fourth proportional to 56,537.84, 84,816.53 and 19,098.18 is: 28,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,537.84 : 84,816.53 = 19,098.18 : x
  2. Step 2: Convert to fraction form
    56,537.84/84,816.53 = 19,098.18/x
  3. Step 3: Cross multiply
    56,537.84x = 84,816.53 × 19,098.18
  4. Step 4: Simplify right side
    56,537.84x = 1,619,841,309.17
  5. Step 5: Solve for x
    x = 1,619,841,309.17/56,537.84
  6. Step 6: Final answer
    x = 28,650.57

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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.