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Finding the Fourth Proportional to 93,540.32, 140,317.72 and 31,210.72

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Solution

The fourth proportional to 93,540.32, 140,317.72 and 31,210.72 is: 46,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,540.32 : 140,317.72 = 31,210.72 : x
  2. Step 2: Convert to fraction form
    93,540.32/140,317.72 = 31,210.72/x
  3. Step 3: Cross multiply
    93,540.32x = 140,317.72 × 31,210.72
  4. Step 4: Simplify right side
    93,540.32x = 4,379,417,069.96
  5. Step 5: Solve for x
    x = 4,379,417,069.96/93,540.32
  6. Step 6: Final answer
    x = 46,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.