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Finding the Fourth Proportional to 31,075.62, 46,613.18 and 18,599.10

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Solution

The fourth proportional to 31,075.62, 46,613.18 and 18,599.10 is: 27,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.62 : 46,613.18 = 18,599.10 : x
  2. Step 2: Convert to fraction form
    31,075.62/46,613.18 = 18,599.10/x
  3. Step 3: Cross multiply
    31,075.62x = 46,613.18 × 18,599.10
  4. Step 4: Simplify right side
    31,075.62x = 866,963,196.14
  5. Step 5: Solve for x
    x = 866,963,196.14/31,075.62
  6. Step 6: Final answer
    x = 27,898.50

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Why These Related Problems?

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