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Finding the Fourth Proportional to 105,459.36, 145,534.40 and 57,712.64

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Solution

The fourth proportional to 105,459.36, 145,534.40 and 57,712.64 is: 79,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,459.36 : 145,534.40 = 57,712.64 : x
  2. Step 2: Convert to fraction form
    105,459.36/145,534.40 = 57,712.64/x
  3. Step 3: Cross multiply
    105,459.36x = 145,534.40 × 57,712.64
  4. Step 4: Simplify right side
    105,459.36x = 8,399,174,434.82
  5. Step 5: Solve for x
    x = 8,399,174,434.82/105,459.36
  6. Step 6: Final answer
    x = 79,643.71

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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.