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Finding the Fourth Proportional to 31,409.76, 47,113.80 and 14,765.76

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Solution

The fourth proportional to 31,409.76, 47,113.80 and 14,765.76 is: 22,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.76 : 47,113.80 = 14,765.76 : x
  2. Step 2: Convert to fraction form
    31,409.76/47,113.80 = 14,765.76/x
  3. Step 3: Cross multiply
    31,409.76x = 47,113.80 × 14,765.76
  4. Step 4: Simplify right side
    31,409.76x = 695,671,063.49
  5. Step 5: Solve for x
    x = 695,671,063.49/31,409.76
  6. Step 6: Final answer
    x = 22,148.25

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1.5x scale

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.