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Finding the Fourth Proportional to 105,278.24, 145,277.84 and 57,532

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Solution

The fourth proportional to 105,278.24, 145,277.84 and 57,532 is: 79,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,278.24 : 145,277.84 = 57,532 : x
  2. Step 2: Convert to fraction form
    105,278.24/145,277.84 = 57,532/x
  3. Step 3: Cross multiply
    105,278.24x = 145,277.84 × 57,532
  4. Step 4: Simplify right side
    105,278.24x = 8,358,124,690.88
  5. Step 5: Solve for x
    x = 8,358,124,690.88/105,278.24
  6. Step 6: Final answer
    x = 79,390.81

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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.