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Finding the Fourth Proportional to 40,702.50, 56,164.86 and 23,710.32

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Solution

The fourth proportional to 40,702.50, 56,164.86 and 23,710.32 is: 32,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.50 : 56,164.86 = 23,710.32 : x
  2. Step 2: Convert to fraction form
    40,702.50/56,164.86 = 23,710.32/x
  3. Step 3: Cross multiply
    40,702.50x = 56,164.86 × 23,710.32
  4. Step 4: Simplify right side
    40,702.50x = 1,331,686,803.36
  5. Step 5: Solve for x
    x = 1,331,686,803.36/40,702.50
  6. Step 6: Final answer
    x = 32,717.57

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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.