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Finding the Fourth Proportional to 97,411.60, 134,428.44 and 52,699.60

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Solution

The fourth proportional to 97,411.60, 134,428.44 and 52,699.60 is: 72,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,411.60 : 134,428.44 = 52,699.60 : x
  2. Step 2: Convert to fraction form
    97,411.60/134,428.44 = 52,699.60/x
  3. Step 3: Cross multiply
    97,411.60x = 134,428.44 × 52,699.60
  4. Step 4: Simplify right side
    97,411.60x = 7,084,325,016.62
  5. Step 5: Solve for x
    x = 7,084,325,016.62/97,411.60
  6. Step 6: Final answer
    x = 72,725.68

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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.