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Finding the Fourth Proportional to 31,767.48, 47,643.50 and 10,702.08

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Solution

The fourth proportional to 31,767.48, 47,643.50 and 10,702.08 is: 16,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.48 : 47,643.50 = 10,702.08 : x
  2. Step 2: Convert to fraction form
    31,767.48/47,643.50 = 10,702.08/x
  3. Step 3: Cross multiply
    31,767.48x = 47,643.50 × 10,702.08
  4. Step 4: Simplify right side
    31,767.48x = 509,884,548.48
  5. Step 5: Solve for x
    x = 509,884,548.48/31,767.48
  6. Step 6: Final answer
    x = 16,050.52

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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.