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Finding the Fourth Proportional to 77,575, 107,053.50 and 42,247

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Solution

The fourth proportional to 77,575, 107,053.50 and 42,247 is: 58,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,575 : 107,053.50 = 42,247 : x
  2. Step 2: Convert to fraction form
    77,575/107,053.50 = 42,247/x
  3. Step 3: Cross multiply
    77,575x = 107,053.50 × 42,247
  4. Step 4: Simplify right side
    77,575x = 4,522,689,214.50
  5. Step 5: Solve for x
    x = 4,522,689,214.50/77,575
  6. Step 6: Final answer
    x = 58,300.86

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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.