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Finding the Fourth Proportional to 31,854.04, 47,764.54 and 14,308.88

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Solution

The fourth proportional to 31,854.04, 47,764.54 and 14,308.88 is: 21,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.04 : 47,764.54 = 14,308.88 : x
  2. Step 2: Convert to fraction form
    31,854.04/47,764.54 = 14,308.88/x
  3. Step 3: Cross multiply
    31,854.04x = 47,764.54 × 14,308.88
  4. Step 4: Simplify right side
    31,854.04x = 683,457,071.12
  5. Step 5: Solve for x
    x = 683,457,071.12/31,854.04
  6. Step 6: Final answer
    x = 21,455.90

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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.