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Finding the Fourth Proportional to 31,655.80, 43,702.50 and 21,061

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Solution

The fourth proportional to 31,655.80, 43,702.50 and 21,061 is: 29,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.80 : 43,702.50 = 21,061 : x
  2. Step 2: Convert to fraction form
    31,655.80/43,702.50 = 21,061/x
  3. Step 3: Cross multiply
    31,655.80x = 43,702.50 × 21,061
  4. Step 4: Simplify right side
    31,655.80x = 920,418,352.50
  5. Step 5: Solve for x
    x = 920,418,352.50/31,655.80
  6. Step 6: Final answer
    x = 29,075.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.