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Finding the Fourth Proportional to 31,710.40, 47,571.06 and 10,652.45

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Solution

The fourth proportional to 31,710.40, 47,571.06 and 10,652.45 is: 15,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.40 : 47,571.06 = 10,652.45 : x
  2. Step 2: Convert to fraction form
    31,710.40/47,571.06 = 10,652.45/x
  3. Step 3: Cross multiply
    31,710.40x = 47,571.06 × 10,652.45
  4. Step 4: Simplify right side
    31,710.40x = 506,748,284.83
  5. Step 5: Solve for x
    x = 506,748,284.83/31,710.40
  6. Step 6: Final answer
    x = 15,980.51

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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.