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Finding the Fourth Proportional to 97,684.52, 134,804.68 and 52,972.52

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Solution

The fourth proportional to 97,684.52, 134,804.68 and 52,972.52 is: 73,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,684.52 : 134,804.68 = 52,972.52 : x
  2. Step 2: Convert to fraction form
    97,684.52/134,804.68 = 52,972.52/x
  3. Step 3: Cross multiply
    97,684.52x = 134,804.68 × 52,972.52
  4. Step 4: Simplify right side
    97,684.52x = 7,140,943,607.39
  5. Step 5: Solve for x
    x = 7,140,943,607.39/97,684.52
  6. Step 6: Final answer
    x = 73,102.10

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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.