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Finding the Fourth Proportional to 105,588.69, 145,712.57 and 57,840.99

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Solution

The fourth proportional to 105,588.69, 145,712.57 and 57,840.99 is: 79,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,588.69 : 145,712.57 = 57,840.99 : x
  2. Step 2: Convert to fraction form
    105,588.69/145,712.57 = 57,840.99/x
  3. Step 3: Cross multiply
    105,588.69x = 145,712.57 × 57,840.99
  4. Step 4: Simplify right side
    105,588.69x = 8,428,159,015.04
  5. Step 5: Solve for x
    x = 8,428,159,015.04/105,588.69
  6. Step 6: Final answer
    x = 79,820.66

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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.