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Finding the Fourth Proportional to 27,897.48, 42,038.13 and 23,075.64

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Solution

The fourth proportional to 27,897.48, 42,038.13 and 23,075.64 is: 34,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.48 : 42,038.13 = 23,075.64 : x
  2. Step 2: Convert to fraction form
    27,897.48/42,038.13 = 23,075.64/x
  3. Step 3: Cross multiply
    27,897.48x = 42,038.13 × 23,075.64
  4. Step 4: Simplify right side
    27,897.48x = 970,056,754.15
  5. Step 5: Solve for x
    x = 970,056,754.15/27,897.48
  6. Step 6: Final answer
    x = 34,772.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.