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Finding the Fourth Proportional to 93,643.93, 140,475.48 and 30,461.50

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Solution

The fourth proportional to 93,643.93, 140,475.48 and 30,461.50 is: 45,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,643.93 : 140,475.48 = 30,461.50 : x
  2. Step 2: Convert to fraction form
    93,643.93/140,475.48 = 30,461.50/x
  3. Step 3: Cross multiply
    93,643.93x = 140,475.48 × 30,461.50
  4. Step 4: Simplify right side
    93,643.93x = 4,279,093,834.02
  5. Step 5: Solve for x
    x = 4,279,093,834.02/93,643.93
  6. Step 6: Final answer
    x = 45,695.37

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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.