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Finding the Fourth Proportional to 42,090.96, 58,085.16 and 22,971.12

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Solution

The fourth proportional to 42,090.96, 58,085.16 and 22,971.12 is: 31,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090.96 : 58,085.16 = 22,971.12 : x
  2. Step 2: Convert to fraction form
    42,090.96/58,085.16 = 22,971.12/x
  3. Step 3: Cross multiply
    42,090.96x = 58,085.16 × 22,971.12
  4. Step 4: Simplify right side
    42,090.96x = 1,334,281,180.58
  5. Step 5: Solve for x
    x = 1,334,281,180.58/42,090.96
  6. Step 6: Final answer
    x = 31,699.95

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