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Finding the Fourth Proportional to 55,051.84, 75,973.32 and 31,178

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Solution

The fourth proportional to 55,051.84, 75,973.32 and 31,178 is: 43,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,051.84 : 75,973.32 = 31,178 : x
  2. Step 2: Convert to fraction form
    55,051.84/75,973.32 = 31,178/x
  3. Step 3: Cross multiply
    55,051.84x = 75,973.32 × 31,178
  4. Step 4: Simplify right side
    55,051.84x = 2,368,696,170.96
  5. Step 5: Solve for x
    x = 2,368,696,170.96/55,051.84
  6. Step 6: Final answer
    x = 43,026.65

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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.