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Finding the Fourth Proportional to 31,784.45, 47,677.04 and 9,598.01

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Solution

The fourth proportional to 31,784.45, 47,677.04 and 9,598.01 is: 14,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.45 : 47,677.04 = 9,598.01 : x
  2. Step 2: Convert to fraction form
    31,784.45/47,677.04 = 9,598.01/x
  3. Step 3: Cross multiply
    31,784.45x = 47,677.04 × 9,598.01
  4. Step 4: Simplify right side
    31,784.45x = 457,604,658.70
  5. Step 5: Solve for x
    x = 457,604,658.70/31,784.45
  6. Step 6: Final answer
    x = 14,397.12

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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.