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Finding the Fourth Proportional to 93,379.50, 140,070.47 and 31,050

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Solution

The fourth proportional to 93,379.50, 140,070.47 and 31,050 is: 46,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,379.50 : 140,070.47 = 31,050 : x
  2. Step 2: Convert to fraction form
    93,379.50/140,070.47 = 31,050/x
  3. Step 3: Cross multiply
    93,379.50x = 140,070.47 × 31,050
  4. Step 4: Simplify right side
    93,379.50x = 4,349,187,938.25
  5. Step 5: Solve for x
    x = 4,349,187,938.25/93,379.50
  6. Step 6: Final answer
    x = 46,575.40

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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.