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Finding the Fourth Proportional to 32,075.65, 48,113.49 and 8,702.08

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Solution

The fourth proportional to 32,075.65, 48,113.49 and 8,702.08 is: 13,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075.65 : 48,113.49 = 8,702.08 : x
  2. Step 2: Convert to fraction form
    32,075.65/48,113.49 = 8,702.08/x
  3. Step 3: Cross multiply
    32,075.65x = 48,113.49 × 8,702.08
  4. Step 4: Simplify right side
    32,075.65x = 418,687,622.05
  5. Step 5: Solve for x
    x = 418,687,622.05/32,075.65
  6. Step 6: Final answer
    x = 13,053.13

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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.