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Finding the Fourth Proportional to 55,462.84, 76,538.54 and 30,312.34

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Solution

The fourth proportional to 55,462.84, 76,538.54 and 30,312.34 is: 41,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462.84 : 76,538.54 = 30,312.34 : x
  2. Step 2: Convert to fraction form
    55,462.84/76,538.54 = 30,312.34/x
  3. Step 3: Cross multiply
    55,462.84x = 76,538.54 × 30,312.34
  4. Step 4: Simplify right side
    55,462.84x = 2,320,062,247.58
  5. Step 5: Solve for x
    x = 2,320,062,247.58/55,462.84
  6. Step 6: Final answer
    x = 41,830.93

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