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Finding the Fourth Proportional to 77,645.86, 116,616.43 and 48,268.98

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Solution

The fourth proportional to 77,645.86, 116,616.43 and 48,268.98 is: 72,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,645.86 : 116,616.43 = 48,268.98 : x
  2. Step 2: Convert to fraction form
    77,645.86/116,616.43 = 48,268.98/x
  3. Step 3: Cross multiply
    77,645.86x = 116,616.43 × 48,268.98
  4. Step 4: Simplify right side
    77,645.86x = 5,628,956,127.34
  5. Step 5: Solve for x
    x = 5,628,956,127.34/77,645.86
  6. Step 6: Final answer
    x = 72,495.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.