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Finding the Fourth Proportional to 125,792.16, 188,623.20 and 37,034.16

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Solution

The fourth proportional to 125,792.16, 188,623.20 and 37,034.16 is: 55,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,792.16 : 188,623.20 = 37,034.16 : x
  2. Step 2: Convert to fraction form
    125,792.16/188,623.20 = 37,034.16/x
  3. Step 3: Cross multiply
    125,792.16x = 188,623.20 × 37,034.16
  4. Step 4: Simplify right side
    125,792.16x = 6,985,501,768.51
  5. Step 5: Solve for x
    x = 6,985,501,768.51/125,792.16
  6. Step 6: Final answer
    x = 55,532.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.