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Finding the Fourth Proportional to 52,802.40, 79,200.72 and 17,738.40

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Solution

The fourth proportional to 52,802.40, 79,200.72 and 17,738.40 is: 26,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,802.40 : 79,200.72 = 17,738.40 : x
  2. Step 2: Convert to fraction form
    52,802.40/79,200.72 = 17,738.40/x
  3. Step 3: Cross multiply
    52,802.40x = 79,200.72 × 17,738.40
  4. Step 4: Simplify right side
    52,802.40x = 1,404,894,051.65
  5. Step 5: Solve for x
    x = 1,404,894,051.65/52,802.40
  6. Step 6: Final answer
    x = 26,606.63

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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.