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Finding the Fourth Proportional to 52,409.95, 78,613.21 and 31,208.07

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Solution

The fourth proportional to 52,409.95, 78,613.21 and 31,208.07 is: 46,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.95 : 78,613.21 = 31,208.07 : x
  2. Step 2: Convert to fraction form
    52,409.95/78,613.21 = 31,208.07/x
  3. Step 3: Cross multiply
    52,409.95x = 78,613.21 × 31,208.07
  4. Step 4: Simplify right side
    52,409.95x = 2,453,366,560.60
  5. Step 5: Solve for x
    x = 2,453,366,560.60/52,409.95
  6. Step 6: Final answer
    x = 46,811.08

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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.