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Finding the Fourth Proportional to 29,323.50, 40,466.43 and 16,075.50

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Solution

The fourth proportional to 29,323.50, 40,466.43 and 16,075.50 is: 22,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.50 : 40,466.43 = 16,075.50 : x
  2. Step 2: Convert to fraction form
    29,323.50/40,466.43 = 16,075.50/x
  3. Step 3: Cross multiply
    29,323.50x = 40,466.43 × 16,075.50
  4. Step 4: Simplify right side
    29,323.50x = 650,518,095.47
  5. Step 5: Solve for x
    x = 650,518,095.47/29,323.50
  6. Step 6: Final answer
    x = 22,184.19

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Why These Related Problems?

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