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Finding the Fourth Proportional to 77,095.32, 115,566.36 and 35,006.50

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Solution

The fourth proportional to 77,095.32, 115,566.36 and 35,006.50 is: 52,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,095.32 : 115,566.36 = 35,006.50 : x
  2. Step 2: Convert to fraction form
    77,095.32/115,566.36 = 35,006.50/x
  3. Step 3: Cross multiply
    77,095.32x = 115,566.36 × 35,006.50
  4. Step 4: Simplify right side
    77,095.32x = 4,045,573,781.34
  5. Step 5: Solve for x
    x = 4,045,573,781.34/77,095.32
  6. Step 6: Final answer
    x = 52,474.96

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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.