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Finding the Fourth Proportional to 77,112.72, 115,590.30 and 43,762.32

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Solution

The fourth proportional to 77,112.72, 115,590.30 and 43,762.32 is: 65,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112.72 : 115,590.30 = 43,762.32 : x
  2. Step 2: Convert to fraction form
    77,112.72/115,590.30 = 43,762.32/x
  3. Step 3: Cross multiply
    77,112.72x = 115,590.30 × 43,762.32
  4. Step 4: Simplify right side
    77,112.72x = 5,058,499,697.50
  5. Step 5: Solve for x
    x = 5,058,499,697.50/77,112.72
  6. Step 6: Final answer
    x = 65,598.77

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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.