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Finding the Fourth Proportional to 48,116, 66,400.08 and 26,894.81

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Solution

The fourth proportional to 48,116, 66,400.08 and 26,894.81 is: 37,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116 : 66,400.08 = 26,894.81 : x
  2. Step 2: Convert to fraction form
    48,116/66,400.08 = 26,894.81/x
  3. Step 3: Cross multiply
    48,116x = 66,400.08 × 26,894.81
  4. Step 4: Simplify right side
    48,116x = 1,785,817,535.58
  5. Step 5: Solve for x
    x = 1,785,817,535.58/48,116
  6. Step 6: Final answer
    x = 37,114.84

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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.