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Finding the Fourth Proportional to 31,017.16, 46,525.02 and 9,956.35

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Solution

The fourth proportional to 31,017.16, 46,525.02 and 9,956.35 is: 14,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.16 : 46,525.02 = 9,956.35 : x
  2. Step 2: Convert to fraction form
    31,017.16/46,525.02 = 9,956.35/x
  3. Step 3: Cross multiply
    31,017.16x = 46,525.02 × 9,956.35
  4. Step 4: Simplify right side
    31,017.16x = 463,219,229.23
  5. Step 5: Solve for x
    x = 463,219,229.23/31,017.16
  6. Step 6: Final answer
    x = 14,934.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.