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Finding the Fourth Proportional to 142,696.76, 214,028.10 and 37,523.93

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Solution

The fourth proportional to 142,696.76, 214,028.10 and 37,523.93 is: 56,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,696.76 : 214,028.10 = 37,523.93 : x
  2. Step 2: Convert to fraction form
    142,696.76/214,028.10 = 37,523.93/x
  3. Step 3: Cross multiply
    142,696.76x = 214,028.10 × 37,523.93
  4. Step 4: Simplify right side
    142,696.76x = 8,031,174,372.29
  5. Step 5: Solve for x
    x = 8,031,174,372.29/142,696.76
  6. Step 6: Final answer
    x = 56,281.41

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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.