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Finding the Fourth Proportional to 93,409.13, 140,114.91 and 31,079.63

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Solution

The fourth proportional to 93,409.13, 140,114.91 and 31,079.63 is: 46,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,409.13 : 140,114.91 = 31,079.63 : x
  2. Step 2: Convert to fraction form
    93,409.13/140,114.91 = 31,079.63/x
  3. Step 3: Cross multiply
    93,409.13x = 140,114.91 × 31,079.63
  4. Step 4: Simplify right side
    93,409.13x = 4,354,718,859.71
  5. Step 5: Solve for x
    x = 4,354,718,859.71/93,409.13
  6. Step 6: Final answer
    x = 46,619.84

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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.