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Finding the Fourth Proportional to 97,681, 134,799.84 and 52,969

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Solution

The fourth proportional to 97,681, 134,799.84 and 52,969 is: 73,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681 : 134,799.84 = 52,969 : x
  2. Step 2: Convert to fraction form
    97,681/134,799.84 = 52,969/x
  3. Step 3: Cross multiply
    97,681x = 134,799.84 × 52,969
  4. Step 4: Simplify right side
    97,681x = 7,140,212,724.96
  5. Step 5: Solve for x
    x = 7,140,212,724.96/97,681
  6. Step 6: Final answer
    x = 73,097.25

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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.