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Finding the Fourth Proportional to 30,203.38, 41,681.18 and 16,592.00

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Solution

The fourth proportional to 30,203.38, 41,681.18 and 16,592.00 is: 22,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.38 : 41,681.18 = 16,592.00 : x
  2. Step 2: Convert to fraction form
    30,203.38/41,681.18 = 16,592.00/x
  3. Step 3: Cross multiply
    30,203.38x = 41,681.18 × 16,592.00
  4. Step 4: Simplify right side
    30,203.38x = 691,574,075.84
  5. Step 5: Solve for x
    x = 691,574,075.84/30,203.38
  6. Step 6: Final answer
    x = 22,897.24

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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.