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Finding the Fourth Proportional to 31,853.04, 47,763.04 and 14,307.88

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Solution

The fourth proportional to 31,853.04, 47,763.04 and 14,307.88 is: 21,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.04 : 47,763.04 = 14,307.88 : x
  2. Step 2: Convert to fraction form
    31,853.04/47,763.04 = 14,307.88/x
  3. Step 3: Cross multiply
    31,853.04x = 47,763.04 × 14,307.88
  4. Step 4: Simplify right side
    31,853.04x = 683,387,844.76
  5. Step 5: Solve for x
    x = 683,387,844.76/31,853.04
  6. Step 6: Final answer
    x = 21,454.40

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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.