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Finding the Fourth Proportional to 105,410.55, 145,465.38 and 57,663.33

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Solution

The fourth proportional to 105,410.55, 145,465.38 and 57,663.33 is: 79,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.55 : 145,465.38 = 57,663.33 : x
  2. Step 2: Convert to fraction form
    105,410.55/145,465.38 = 57,663.33/x
  3. Step 3: Cross multiply
    105,410.55x = 145,465.38 × 57,663.33
  4. Step 4: Simplify right side
    105,410.55x = 8,388,018,210.52
  5. Step 5: Solve for x
    x = 8,388,018,210.52/105,410.55
  6. Step 6: Final answer
    x = 79,574.75

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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.