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Finding the Fourth Proportional to 93,411.84, 140,087.04 and 31,065.60

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Solution

The fourth proportional to 93,411.84, 140,087.04 and 31,065.60 is: 46,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,411.84 : 140,087.04 = 31,065.60 : x
  2. Step 2: Convert to fraction form
    93,411.84/140,087.04 = 31,065.60/x
  3. Step 3: Cross multiply
    93,411.84x = 140,087.04 × 31,065.60
  4. Step 4: Simplify right side
    93,411.84x = 4,351,887,949.82
  5. Step 5: Solve for x
    x = 4,351,887,949.82/93,411.84
  6. Step 6: Final answer
    x = 46,588.18

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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.