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Finding the Fourth Proportional to 31,075.78, 42,881.95 and 17,462.78

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Solution

The fourth proportional to 31,075.78, 42,881.95 and 17,462.78 is: 24,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.78 : 42,881.95 = 17,462.78 : x
  2. Step 2: Convert to fraction form
    31,075.78/42,881.95 = 17,462.78/x
  3. Step 3: Cross multiply
    31,075.78x = 42,881.95 × 17,462.78
  4. Step 4: Simplify right side
    31,075.78x = 748,838,058.82
  5. Step 5: Solve for x
    x = 748,838,058.82/31,075.78
  6. Step 6: Final answer
    x = 24,097.16

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