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Finding the Fourth Proportional to 31,709.64, 47,522.48 and 16,886.64

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Solution

The fourth proportional to 31,709.64, 47,522.48 and 16,886.64 is: 25,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.64 : 47,522.48 = 16,886.64 : x
  2. Step 2: Convert to fraction form
    31,709.64/47,522.48 = 16,886.64/x
  3. Step 3: Cross multiply
    31,709.64x = 47,522.48 × 16,886.64
  4. Step 4: Simplify right side
    31,709.64x = 802,494,927.23
  5. Step 5: Solve for x
    x = 802,494,927.23/31,709.64
  6. Step 6: Final answer
    x = 25,307.60

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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.