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Finding the Fourth Proportional to 52,115.38, 71,925.60 and 33,985.50

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Solution

The fourth proportional to 52,115.38, 71,925.60 and 33,985.50 is: 46,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.38 : 71,925.60 = 33,985.50 : x
  2. Step 2: Convert to fraction form
    52,115.38/71,925.60 = 33,985.50/x
  3. Step 3: Cross multiply
    52,115.38x = 71,925.60 × 33,985.50
  4. Step 4: Simplify right side
    52,115.38x = 2,444,426,949.24
  5. Step 5: Solve for x
    x = 2,444,426,949.24/52,115.38
  6. Step 6: Final answer
    x = 46,904.14

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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.