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Finding the Fourth Proportional to 70,587.44, 105,852.90 and 31,116.50

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Solution

The fourth proportional to 70,587.44, 105,852.90 and 31,116.50 is: 46,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,587.44 : 105,852.90 = 31,116.50 : x
  2. Step 2: Convert to fraction form
    70,587.44/105,852.90 = 31,116.50/x
  3. Step 3: Cross multiply
    70,587.44x = 105,852.90 × 31,116.50
  4. Step 4: Simplify right side
    70,587.44x = 3,293,771,762.85
  5. Step 5: Solve for x
    x = 3,293,771,762.85/70,587.44
  6. Step 6: Final answer
    x = 46,662.29

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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.