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Finding the Fourth Proportional to 52,116, 78,278.94 and 31,097.16

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Solution

The fourth proportional to 52,116, 78,278.94 and 31,097.16 is: 46,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116 : 78,278.94 = 31,097.16 : x
  2. Step 2: Convert to fraction form
    52,116/78,278.94 = 31,097.16/x
  3. Step 3: Cross multiply
    52,116x = 78,278.94 × 31,097.16
  4. Step 4: Simplify right side
    52,116x = 2,434,252,721.81
  5. Step 5: Solve for x
    x = 2,434,252,721.81/52,116
  6. Step 6: Final answer
    x = 46,708.36

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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.