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Finding the Fourth Proportional to 105,557.58, 145,665.54 and 57,811.32

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Solution

The fourth proportional to 105,557.58, 145,665.54 and 57,811.32 is: 79,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,557.58 : 145,665.54 = 57,811.32 : x
  2. Step 2: Convert to fraction form
    105,557.58/145,665.54 = 57,811.32/x
  3. Step 3: Cross multiply
    105,557.58x = 145,665.54 × 57,811.32
  4. Step 4: Simplify right side
    105,557.58x = 8,421,117,145.91
  5. Step 5: Solve for x
    x = 8,421,117,145.91/105,557.58
  6. Step 6: Final answer
    x = 79,777.47

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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.