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Finding the Fourth Proportional to 35,054.50, 52,582.11 and 10,430.50

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Solution

The fourth proportional to 35,054.50, 52,582.11 and 10,430.50 is: 15,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,054.50 : 52,582.11 = 10,430.50 : x
  2. Step 2: Convert to fraction form
    35,054.50/52,582.11 = 10,430.50/x
  3. Step 3: Cross multiply
    35,054.50x = 52,582.11 × 10,430.50
  4. Step 4: Simplify right side
    35,054.50x = 548,457,698.36
  5. Step 5: Solve for x
    x = 548,457,698.36/35,054.50
  6. Step 6: Final answer
    x = 15,645.86

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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.