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Finding the Fourth Proportional to 36,502.54, 54,762.06 and 13,129

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Solution

The fourth proportional to 36,502.54, 54,762.06 and 13,129 is: 19,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,502.54 : 54,762.06 = 13,129 : x
  2. Step 2: Convert to fraction form
    36,502.54/54,762.06 = 13,129/x
  3. Step 3: Cross multiply
    36,502.54x = 54,762.06 × 13,129
  4. Step 4: Simplify right side
    36,502.54x = 718,971,085.74
  5. Step 5: Solve for x
    x = 718,971,085.74/36,502.54
  6. Step 6: Final answer
    x = 19,696.47

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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.