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Finding the Fourth Proportional to 97,439, 134,465.94 and 52,727

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Solution

The fourth proportional to 97,439, 134,465.94 and 52,727 is: 72,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,439 : 134,465.94 = 52,727 : x
  2. Step 2: Convert to fraction form
    97,439/134,465.94 = 52,727/x
  3. Step 3: Cross multiply
    97,439x = 134,465.94 × 52,727
  4. Step 4: Simplify right side
    97,439x = 7,089,985,618.38
  5. Step 5: Solve for x
    x = 7,089,985,618.38/97,439
  6. Step 6: Final answer
    x = 72,763.32

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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.