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Finding the Fourth Proportional to 31,609.58, 47,437.70 and 14,969.58

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Solution

The fourth proportional to 31,609.58, 47,437.70 and 14,969.58 is: 22,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.58 : 47,437.70 = 14,969.58 : x
  2. Step 2: Convert to fraction form
    31,609.58/47,437.70 = 14,969.58/x
  3. Step 3: Cross multiply
    31,609.58x = 47,437.70 × 14,969.58
  4. Step 4: Simplify right side
    31,609.58x = 710,122,445.17
  5. Step 5: Solve for x
    x = 710,122,445.17/31,609.58
  6. Step 6: Final answer
    x = 22,465.42

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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.