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Finding the Fourth Proportional to 97,239, 134,189.94 and 52,527

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Solution

The fourth proportional to 97,239, 134,189.94 and 52,527 is: 72,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,239 : 134,189.94 = 52,527 : x
  2. Step 2: Convert to fraction form
    97,239/134,189.94 = 52,527/x
  3. Step 3: Cross multiply
    97,239x = 134,189.94 × 52,527
  4. Step 4: Simplify right side
    97,239x = 7,048,594,978.38
  5. Step 5: Solve for x
    x = 7,048,594,978.38/97,239
  6. Step 6: Final answer
    x = 72,487.32

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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.