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Finding the Fourth Proportional to 105,574.02, 145,692.33 and 57,827.46

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Solution

The fourth proportional to 105,574.02, 145,692.33 and 57,827.46 is: 79,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,574.02 : 145,692.33 = 57,827.46 : x
  2. Step 2: Convert to fraction form
    105,574.02/145,692.33 = 57,827.46/x
  3. Step 3: Cross multiply
    105,574.02x = 145,692.33 × 57,827.46
  4. Step 4: Simplify right side
    105,574.02x = 8,425,017,385.38
  5. Step 5: Solve for x
    x = 8,425,017,385.38/105,574.02
  6. Step 6: Final answer
    x = 79,801.99

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Why These Related Problems?

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