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Finding the Fourth Proportional to 31,782.58, 47,681.58 and 9,594.63

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Solution

The fourth proportional to 31,782.58, 47,681.58 and 9,594.63 is: 14,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.58 : 47,681.58 = 9,594.63 : x
  2. Step 2: Convert to fraction form
    31,782.58/47,681.58 = 9,594.63/x
  3. Step 3: Cross multiply
    31,782.58x = 47,681.58 × 9,594.63
  4. Step 4: Simplify right side
    31,782.58x = 457,487,069.94
  5. Step 5: Solve for x
    x = 457,487,069.94/31,782.58
  6. Step 6: Final answer
    x = 14,394.27

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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.