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Finding the Fourth Proportional to 105,530.98, 145,631.31 and 57,784.32

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Solution

The fourth proportional to 105,530.98, 145,631.31 and 57,784.32 is: 79,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,530.98 : 145,631.31 = 57,784.32 : x
  2. Step 2: Convert to fraction form
    105,530.98/145,631.31 = 57,784.32/x
  3. Step 3: Cross multiply
    105,530.98x = 145,631.31 × 57,784.32
  4. Step 4: Simplify right side
    105,530.98x = 8,415,206,219.06
  5. Step 5: Solve for x
    x = 8,415,206,219.06/105,530.98
  6. Step 6: Final answer
    x = 79,741.57

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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.