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Finding the Fourth Proportional to 75,698.68, 104,385 and 56,548.44

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Solution

The fourth proportional to 75,698.68, 104,385 and 56,548.44 is: 77,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,698.68 : 104,385 = 56,548.44 : x
  2. Step 2: Convert to fraction form
    75,698.68/104,385 = 56,548.44/x
  3. Step 3: Cross multiply
    75,698.68x = 104,385 × 56,548.44
  4. Step 4: Simplify right side
    75,698.68x = 5,902,808,909.40
  5. Step 5: Solve for x
    x = 5,902,808,909.40/75,698.68
  6. Step 6: Final answer
    x = 77,977.70

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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.