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Finding the Fourth Proportional to 36,758.34, 55,055.43 and 28,377

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Solution

The fourth proportional to 36,758.34, 55,055.43 and 28,377 is: 42,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,758.34 : 55,055.43 = 28,377 : x
  2. Step 2: Convert to fraction form
    36,758.34/55,055.43 = 28,377/x
  3. Step 3: Cross multiply
    36,758.34x = 55,055.43 × 28,377
  4. Step 4: Simplify right side
    36,758.34x = 1,562,307,937.11
  5. Step 5: Solve for x
    x = 1,562,307,937.11/36,758.34
  6. Step 6: Final answer
    x = 42,502.14

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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.