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Finding the Fourth Proportional to 38,774.84, 53,529.59 and 26,094.69

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Solution

The fourth proportional to 38,774.84, 53,529.59 and 26,094.69 is: 36,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.84 : 53,529.59 = 26,094.69 : x
  2. Step 2: Convert to fraction form
    38,774.84/53,529.59 = 26,094.69/x
  3. Step 3: Cross multiply
    38,774.84x = 53,529.59 × 26,094.69
  4. Step 4: Simplify right side
    38,774.84x = 1,396,838,122.11
  5. Step 5: Solve for x
    x = 1,396,838,122.11/38,774.84
  6. Step 6: Final answer
    x = 36,024.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.