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Finding the Fourth Proportional to 34,935.35, 52,411.14 and 9,975.74

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Solution

The fourth proportional to 34,935.35, 52,411.14 and 9,975.74 is: 14,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,935.35 : 52,411.14 = 9,975.74 : x
  2. Step 2: Convert to fraction form
    34,935.35/52,411.14 = 9,975.74/x
  3. Step 3: Cross multiply
    34,935.35x = 52,411.14 × 9,975.74
  4. Step 4: Simplify right side
    34,935.35x = 522,839,643.69
  5. Step 5: Solve for x
    x = 522,839,643.69/34,935.35
  6. Step 6: Final answer
    x = 14,965.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.