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Finding the Fourth Proportional to 105,480, 145,562.40 and 58,376

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Solution

The fourth proportional to 105,480, 145,562.40 and 58,376 is: 80,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480 : 145,562.40 = 58,376 : x
  2. Step 2: Convert to fraction form
    105,480/145,562.40 = 58,376/x
  3. Step 3: Cross multiply
    105,480x = 145,562.40 × 58,376
  4. Step 4: Simplify right side
    105,480x = 8,497,350,662.40
  5. Step 5: Solve for x
    x = 8,497,350,662.40/105,480
  6. Step 6: Final answer
    x = 80,558.88

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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.