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Finding the Fourth Proportional to 105,295.50, 145,307.52 and 57,549.17

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Solution

The fourth proportional to 105,295.50, 145,307.52 and 57,549.17 is: 79,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295.50 : 145,307.52 = 57,549.17 : x
  2. Step 2: Convert to fraction form
    105,295.50/145,307.52 = 57,549.17/x
  3. Step 3: Cross multiply
    105,295.50x = 145,307.52 × 57,549.17
  4. Step 4: Simplify right side
    105,295.50x = 8,362,327,534.03
  5. Step 5: Solve for x
    x = 8,362,327,534.03/105,295.50
  6. Step 6: Final answer
    x = 79,417.71

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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.