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Finding the Fourth Proportional to 31,232.94, 46,848.05 and 9,045.83

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Solution

The fourth proportional to 31,232.94, 46,848.05 and 9,045.83 is: 13,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.94 : 46,848.05 = 9,045.83 : x
  2. Step 2: Convert to fraction form
    31,232.94/46,848.05 = 9,045.83/x
  3. Step 3: Cross multiply
    31,232.94x = 46,848.05 × 9,045.83
  4. Step 4: Simplify right side
    31,232.94x = 423,779,312.98
  5. Step 5: Solve for x
    x = 423,779,312.98/31,232.94
  6. Step 6: Final answer
    x = 13,568.34

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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.