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Finding the Fourth Proportional to 58,735.48, 81,055.76 and 31,878.32

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Solution

The fourth proportional to 58,735.48, 81,055.76 and 31,878.32 is: 43,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,735.48 : 81,055.76 = 31,878.32 : x
  2. Step 2: Convert to fraction form
    58,735.48/81,055.76 = 31,878.32/x
  3. Step 3: Cross multiply
    58,735.48x = 81,055.76 × 31,878.32
  4. Step 4: Simplify right side
    58,735.48x = 2,583,921,455.12
  5. Step 5: Solve for x
    x = 2,583,921,455.12/58,735.48
  6. Step 6: Final answer
    x = 43,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.