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Finding the Fourth Proportional to 105,792.46, 145,995.98 and 58,045.66

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Solution

The fourth proportional to 105,792.46, 145,995.98 and 58,045.66 is: 80,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792.46 : 145,995.98 = 58,045.66 : x
  2. Step 2: Convert to fraction form
    105,792.46/145,995.98 = 58,045.66/x
  3. Step 3: Cross multiply
    105,792.46x = 145,995.98 × 58,045.66
  4. Step 4: Simplify right side
    105,792.46x = 8,474,433,016.45
  5. Step 5: Solve for x
    x = 8,474,433,016.45/105,792.46
  6. Step 6: Final answer
    x = 80,104.32

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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.