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Finding the Fourth Proportional to 77,576, 107,054.88 and 42,248

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Solution

The fourth proportional to 77,576, 107,054.88 and 42,248 is: 58,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576 : 107,054.88 = 42,248 : x
  2. Step 2: Convert to fraction form
    77,576/107,054.88 = 42,248/x
  3. Step 3: Cross multiply
    77,576x = 107,054.88 × 42,248
  4. Step 4: Simplify right side
    77,576x = 4,522,854,570.24
  5. Step 5: Solve for x
    x = 4,522,854,570.24/77,576
  6. Step 6: Final answer
    x = 58,302.24

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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.