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Finding the Fourth Proportional to 97,148.96, 134,061.96 and 54,127.44

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Solution

The fourth proportional to 97,148.96, 134,061.96 and 54,127.44 is: 74,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,148.96 : 134,061.96 = 54,127.44 : x
  2. Step 2: Convert to fraction form
    97,148.96/134,061.96 = 54,127.44/x
  3. Step 3: Cross multiply
    97,148.96x = 134,061.96 × 54,127.44
  4. Step 4: Simplify right side
    97,148.96x = 7,256,430,696.18
  5. Step 5: Solve for x
    x = 7,256,430,696.18/97,148.96
  6. Step 6: Final answer
    x = 74,693.86

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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.