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Finding the Fourth Proportional to 76,881.38, 115,341.50 and 21,477.38

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Solution

The fourth proportional to 76,881.38, 115,341.50 and 21,477.38 is: 32,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.38 : 115,341.50 = 21,477.38 : x
  2. Step 2: Convert to fraction form
    76,881.38/115,341.50 = 21,477.38/x
  3. Step 3: Cross multiply
    76,881.38x = 115,341.50 × 21,477.38
  4. Step 4: Simplify right side
    76,881.38x = 2,477,232,702.26
  5. Step 5: Solve for x
    x = 2,477,232,702.26/76,881.38
  6. Step 6: Final answer
    x = 32,221.49

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