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Finding the Fourth Proportional to 38,381.51, 57,547.67 and 26,502

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Solution

The fourth proportional to 38,381.51, 57,547.67 and 26,502 is: 39,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.51 : 57,547.67 = 26,502 : x
  2. Step 2: Convert to fraction form
    38,381.51/57,547.67 = 26,502/x
  3. Step 3: Cross multiply
    38,381.51x = 57,547.67 × 26,502
  4. Step 4: Simplify right side
    38,381.51x = 1,525,128,217.83
  5. Step 5: Solve for x
    x = 1,525,128,217.83/38,381.51
  6. Step 6: Final answer
    x = 39,736.02

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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.