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Finding the Fourth Proportional to 105,107.66, 145,051.96 and 59,784.47

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Solution

The fourth proportional to 105,107.66, 145,051.96 and 59,784.47 is: 82,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.66 : 145,051.96 = 59,784.47 : x
  2. Step 2: Convert to fraction form
    105,107.66/145,051.96 = 59,784.47/x
  3. Step 3: Cross multiply
    105,107.66x = 145,051.96 × 59,784.47
  4. Step 4: Simplify right side
    105,107.66x = 8,671,855,004.27
  5. Step 5: Solve for x
    x = 8,671,855,004.27/105,107.66
  6. Step 6: Final answer
    x = 82,504.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.