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Finding the Fourth Proportional to 31,907.42, 47,848.98 and 9,713.96

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Solution

The fourth proportional to 31,907.42, 47,848.98 and 9,713.96 is: 14,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.42 : 47,848.98 = 9,713.96 : x
  2. Step 2: Convert to fraction form
    31,907.42/47,848.98 = 9,713.96/x
  3. Step 3: Cross multiply
    31,907.42x = 47,848.98 × 9,713.96
  4. Step 4: Simplify right side
    31,907.42x = 464,803,077.76
  5. Step 5: Solve for x
    x = 464,803,077.76/31,907.42
  6. Step 6: Final answer
    x = 14,567.24

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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.