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Finding the Fourth Proportional to 77,903.83, 107,483.38 and 47,657.62

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Solution

The fourth proportional to 77,903.83, 107,483.38 and 47,657.62 is: 65,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,903.83 : 107,483.38 = 47,657.62 : x
  2. Step 2: Convert to fraction form
    77,903.83/107,483.38 = 47,657.62/x
  3. Step 3: Cross multiply
    77,903.83x = 107,483.38 × 47,657.62
  4. Step 4: Simplify right side
    77,903.83x = 5,122,401,625.01
  5. Step 5: Solve for x
    x = 5,122,401,625.01/77,903.83
  6. Step 6: Final answer
    x = 65,752.89

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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.