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Finding the Fourth Proportional to 53,597.08, 80,409.12 and 31,429

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Solution

The fourth proportional to 53,597.08, 80,409.12 and 31,429 is: 47,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,597.08 : 80,409.12 = 31,429 : x
  2. Step 2: Convert to fraction form
    53,597.08/80,409.12 = 31,429/x
  3. Step 3: Cross multiply
    53,597.08x = 80,409.12 × 31,429
  4. Step 4: Simplify right side
    53,597.08x = 2,527,178,232.48
  5. Step 5: Solve for x
    x = 2,527,178,232.48/53,597.08
  6. Step 6: Final answer
    x = 47,151.42

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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.