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Finding the Fourth Proportional to 93,537, 140,306.72 and 31,207.50

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Solution

The fourth proportional to 93,537, 140,306.72 and 31,207.50 is: 46,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,537 : 140,306.72 = 31,207.50 : x
  2. Step 2: Convert to fraction form
    93,537/140,306.72 = 31,207.50/x
  3. Step 3: Cross multiply
    93,537x = 140,306.72 × 31,207.50
  4. Step 4: Simplify right side
    93,537x = 4,378,621,808.36
  5. Step 5: Solve for x
    x = 4,378,621,808.36/93,537
  6. Step 6: Final answer
    x = 46,811.66

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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.