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Finding the Fourth Proportional to 105,585.47, 145,707.94 and 57,838.80

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Solution

The fourth proportional to 105,585.47, 145,707.94 and 57,838.80 is: 79,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,585.47 : 145,707.94 = 57,838.80 : x
  2. Step 2: Convert to fraction form
    105,585.47/145,707.94 = 57,838.80/x
  3. Step 3: Cross multiply
    105,585.47x = 145,707.94 × 57,838.80
  4. Step 4: Simplify right side
    105,585.47x = 8,427,572,400.07
  5. Step 5: Solve for x
    x = 8,427,572,400.07/105,585.47
  6. Step 6: Final answer
    x = 79,817.54

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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.