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Finding the Fourth Proportional to 31,715.84, 47,573.62 and 9,529.12

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Solution

The fourth proportional to 31,715.84, 47,573.62 and 9,529.12 is: 14,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.84 : 47,573.62 = 9,529.12 : x
  2. Step 2: Convert to fraction form
    31,715.84/47,573.62 = 9,529.12/x
  3. Step 3: Cross multiply
    31,715.84x = 47,573.62 × 9,529.12
  4. Step 4: Simplify right side
    31,715.84x = 453,334,733.81
  5. Step 5: Solve for x
    x = 453,334,733.81/31,715.84
  6. Step 6: Final answer
    x = 14,293.64

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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.