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Finding the Fourth Proportional to 58,971.60, 81,380.88 and 32,114.16

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Solution

The fourth proportional to 58,971.60, 81,380.88 and 32,114.16 is: 44,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,971.60 : 81,380.88 = 32,114.16 : x
  2. Step 2: Convert to fraction form
    58,971.60/81,380.88 = 32,114.16/x
  3. Step 3: Cross multiply
    58,971.60x = 81,380.88 × 32,114.16
  4. Step 4: Simplify right side
    58,971.60x = 2,613,478,601.26
  5. Step 5: Solve for x
    x = 2,613,478,601.26/58,971.60
  6. Step 6: Final answer
    x = 44,317.58

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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.