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Finding the Fourth Proportional to 77,783.80, 116,502.90 and 40,804.60

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Solution

The fourth proportional to 77,783.80, 116,502.90 and 40,804.60 is: 61,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.80 : 116,502.90 = 40,804.60 : x
  2. Step 2: Convert to fraction form
    77,783.80/116,502.90 = 40,804.60/x
  3. Step 3: Cross multiply
    77,783.80x = 116,502.90 × 40,804.60
  4. Step 4: Simplify right side
    77,783.80x = 4,753,854,233.34
  5. Step 5: Solve for x
    x = 4,753,854,233.34/77,783.80
  6. Step 6: Final answer
    x = 61,116.25

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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.