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Finding the Fourth Proportional to 35,842.26, 53,765.01 and 12,470.52

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Solution

The fourth proportional to 35,842.26, 53,765.01 and 12,470.52 is: 18,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.26 : 53,765.01 = 12,470.52 : x
  2. Step 2: Convert to fraction form
    35,842.26/53,765.01 = 12,470.52/x
  3. Step 3: Cross multiply
    35,842.26x = 53,765.01 × 12,470.52
  4. Step 4: Simplify right side
    35,842.26x = 670,477,632.51
  5. Step 5: Solve for x
    x = 670,477,632.51/35,842.26
  6. Step 6: Final answer
    x = 18,706.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.