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Finding the Fourth Proportional to 38,070.95, 52,537.14 and 21,075.19

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Solution

The fourth proportional to 38,070.95, 52,537.14 and 21,075.19 is: 29,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070.95 : 52,537.14 = 21,075.19 : x
  2. Step 2: Convert to fraction form
    38,070.95/52,537.14 = 21,075.19/x
  3. Step 3: Cross multiply
    38,070.95x = 52,537.14 × 21,075.19
  4. Step 4: Simplify right side
    38,070.95x = 1,107,230,165.12
  5. Step 5: Solve for x
    x = 1,107,230,165.12/38,070.95
  6. Step 6: Final answer
    x = 29,083.33

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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.