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Finding the Fourth Proportional to 35,407, 53,110.50 and 10,783

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Solution

The fourth proportional to 35,407, 53,110.50 and 10,783 is: 16,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407 : 53,110.50 = 10,783 : x
  2. Step 2: Convert to fraction form
    35,407/53,110.50 = 10,783/x
  3. Step 3: Cross multiply
    35,407x = 53,110.50 × 10,783
  4. Step 4: Simplify right side
    35,407x = 572,690,521.50
  5. Step 5: Solve for x
    x = 572,690,521.50/35,407
  6. Step 6: Final answer
    x = 16,174.50

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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.