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Finding the Fourth Proportional to 31,807.32, 47,718.72 and 22,465.50

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Solution

The fourth proportional to 31,807.32, 47,718.72 and 22,465.50 is: 33,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.32 : 47,718.72 = 22,465.50 : x
  2. Step 2: Convert to fraction form
    31,807.32/47,718.72 = 22,465.50/x
  3. Step 3: Cross multiply
    31,807.32x = 47,718.72 × 22,465.50
  4. Step 4: Simplify right side
    31,807.32x = 1,072,024,904.16
  5. Step 5: Solve for x
    x = 1,072,024,904.16/31,807.32
  6. Step 6: Final answer
    x = 33,703.72

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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.