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Finding the Fourth Proportional to 31,071.37, 46,602.24 and 17,038.32

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Solution

The fourth proportional to 31,071.37, 46,602.24 and 17,038.32 is: 25,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.37 : 46,602.24 = 17,038.32 : x
  2. Step 2: Convert to fraction form
    31,071.37/46,602.24 = 17,038.32/x
  3. Step 3: Cross multiply
    31,071.37x = 46,602.24 × 17,038.32
  4. Step 4: Simplify right side
    31,071.37x = 794,023,877.84
  5. Step 5: Solve for x
    x = 794,023,877.84/31,071.37
  6. Step 6: Final answer
    x = 25,554.84

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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.