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Finding the Fourth Proportional to 31,094.98, 46,643.04 and 11,373.52

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Solution

The fourth proportional to 31,094.98, 46,643.04 and 11,373.52 is: 17,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.98 : 46,643.04 = 11,373.52 : x
  2. Step 2: Convert to fraction form
    31,094.98/46,643.04 = 11,373.52/x
  3. Step 3: Cross multiply
    31,094.98x = 46,643.04 × 11,373.52
  4. Step 4: Simplify right side
    31,094.98x = 530,495,548.30
  5. Step 5: Solve for x
    x = 530,495,548.30/31,094.98
  6. Step 6: Final answer
    x = 17,060.49

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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.