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Finding the Fourth Proportional to 105,564.96, 145,681.32 and 57,822.84

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Solution

The fourth proportional to 105,564.96, 145,681.32 and 57,822.84 is: 79,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,564.96 : 145,681.32 = 57,822.84 : x
  2. Step 2: Convert to fraction form
    105,564.96/145,681.32 = 57,822.84/x
  3. Step 3: Cross multiply
    105,564.96x = 145,681.32 × 57,822.84
  4. Step 4: Simplify right side
    105,564.96x = 8,423,707,657.35
  5. Step 5: Solve for x
    x = 8,423,707,657.35/105,564.96
  6. Step 6: Final answer
    x = 79,796.44

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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.