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Finding the Fourth Proportional to 52,354.90, 78,502.52 and 35,735.06

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Solution

The fourth proportional to 52,354.90, 78,502.52 and 35,735.06 is: 53,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354.90 : 78,502.52 = 35,735.06 : x
  2. Step 2: Convert to fraction form
    52,354.90/78,502.52 = 35,735.06/x
  3. Step 3: Cross multiply
    52,354.90x = 78,502.52 × 35,735.06
  4. Step 4: Simplify right side
    52,354.90x = 2,805,292,262.35
  5. Step 5: Solve for x
    x = 2,805,292,262.35/52,354.90
  6. Step 6: Final answer
    x = 53,582.23

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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.