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Finding the Fourth Proportional to 35,822.70, 53,698.01 and 14,778.09

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Solution

The fourth proportional to 35,822.70, 53,698.01 and 14,778.09 is: 22,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.70 : 53,698.01 = 14,778.09 : x
  2. Step 2: Convert to fraction form
    35,822.70/53,698.01 = 14,778.09/x
  3. Step 3: Cross multiply
    35,822.70x = 53,698.01 × 14,778.09
  4. Step 4: Simplify right side
    35,822.70x = 793,553,950.71
  5. Step 5: Solve for x
    x = 793,553,950.71/35,822.70
  6. Step 6: Final answer
    x = 22,152.27

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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.