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Finding the Fourth Proportional to 35,710.74, 53,590.31 and 14,654.58

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Solution

The fourth proportional to 35,710.74, 53,590.31 and 14,654.58 is: 21,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.74 : 53,590.31 = 14,654.58 : x
  2. Step 2: Convert to fraction form
    35,710.74/53,590.31 = 14,654.58/x
  3. Step 3: Cross multiply
    35,710.74x = 53,590.31 × 14,654.58
  4. Step 4: Simplify right side
    35,710.74x = 785,343,411.85
  5. Step 5: Solve for x
    x = 785,343,411.85/35,710.74
  6. Step 6: Final answer
    x = 21,991.80

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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.