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Finding the Fourth Proportional to 48,784.74, 67,320.90 and 27,564.81

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Solution

The fourth proportional to 48,784.74, 67,320.90 and 27,564.81 is: 38,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.74 : 67,320.90 = 27,564.81 : x
  2. Step 2: Convert to fraction form
    48,784.74/67,320.90 = 27,564.81/x
  3. Step 3: Cross multiply
    48,784.74x = 67,320.90 × 27,564.81
  4. Step 4: Simplify right side
    48,784.74x = 1,855,687,817.53
  5. Step 5: Solve for x
    x = 1,855,687,817.53/48,784.74
  6. Step 6: Final answer
    x = 38,038.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.