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Finding the Fourth Proportional to 42,521.88, 64,029.84 and 31,506.60

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Solution

The fourth proportional to 42,521.88, 64,029.84 and 31,506.60 is: 47,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,521.88 : 64,029.84 = 31,506.60 : x
  2. Step 2: Convert to fraction form
    42,521.88/64,029.84 = 31,506.60/x
  3. Step 3: Cross multiply
    42,521.88x = 64,029.84 × 31,506.60
  4. Step 4: Simplify right side
    42,521.88x = 2,017,362,556.94
  5. Step 5: Solve for x
    x = 2,017,362,556.94/42,521.88
  6. Step 6: Final answer
    x = 47,442.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.