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Finding the Fourth Proportional to 35,646.48, 53,470.33 and 13,470.30

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Solution

The fourth proportional to 35,646.48, 53,470.33 and 13,470.30 is: 20,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.48 : 53,470.33 = 13,470.30 : x
  2. Step 2: Convert to fraction form
    35,646.48/53,470.33 = 13,470.30/x
  3. Step 3: Cross multiply
    35,646.48x = 53,470.33 × 13,470.30
  4. Step 4: Simplify right side
    35,646.48x = 720,261,352.52
  5. Step 5: Solve for x
    x = 720,261,352.52/35,646.48
  6. Step 6: Final answer
    x = 20,205.68

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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.