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Finding the Fourth Proportional to 77,055.98, 115,606.11 and 32,068.58

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Solution

The fourth proportional to 77,055.98, 115,606.11 and 32,068.58 is: 48,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,055.98 : 115,606.11 = 32,068.58 : x
  2. Step 2: Convert to fraction form
    77,055.98/115,606.11 = 32,068.58/x
  3. Step 3: Cross multiply
    77,055.98x = 115,606.11 × 32,068.58
  4. Step 4: Simplify right side
    77,055.98x = 3,707,323,787.02
  5. Step 5: Solve for x
    x = 3,707,323,787.02/77,055.98
  6. Step 6: Final answer
    x = 48,112.08

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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.