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Finding the Fourth Proportional to 97,024.58, 133,844.92 and 56,712

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Solution

The fourth proportional to 97,024.58, 133,844.92 and 56,712 is: 78,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,024.58 : 133,844.92 = 56,712 : x
  2. Step 2: Convert to fraction form
    97,024.58/133,844.92 = 56,712/x
  3. Step 3: Cross multiply
    97,024.58x = 133,844.92 × 56,712
  4. Step 4: Simplify right side
    97,024.58x = 7,590,613,103.04
  5. Step 5: Solve for x
    x = 7,590,613,103.04/97,024.58
  6. Step 6: Final answer
    x = 78,233.92

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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.