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Finding the Fourth Proportional to 105,312.76, 157,977.31 and 35,192.32

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Solution

The fourth proportional to 105,312.76, 157,977.31 and 35,192.32 is: 52,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312.76 : 157,977.31 = 35,192.32 : x
  2. Step 2: Convert to fraction form
    105,312.76/157,977.31 = 35,192.32/x
  3. Step 3: Cross multiply
    105,312.76x = 157,977.31 × 35,192.32
  4. Step 4: Simplify right side
    105,312.76x = 5,559,588,046.26
  5. Step 5: Solve for x
    x = 5,559,588,046.26/105,312.76
  6. Step 6: Final answer
    x = 52,791.21

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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.