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Finding the Fourth Proportional to 70,556.86, 105,751.86 and 31,031.30

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Solution

The fourth proportional to 70,556.86, 105,751.86 and 31,031.30 is: 46,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,556.86 : 105,751.86 = 31,031.30 : x
  2. Step 2: Convert to fraction form
    70,556.86/105,751.86 = 31,031.30/x
  3. Step 3: Cross multiply
    70,556.86x = 105,751.86 × 31,031.30
  4. Step 4: Simplify right side
    70,556.86x = 3,281,617,693.22
  5. Step 5: Solve for x
    x = 3,281,617,693.22/70,556.86
  6. Step 6: Final answer
    x = 46,510.26

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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.