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Finding the Fourth Proportional to 42,791.34, 59,032.16 and 27,688.86

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Solution

The fourth proportional to 42,791.34, 59,032.16 and 27,688.86 is: 38,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,791.34 : 59,032.16 = 27,688.86 : x
  2. Step 2: Convert to fraction form
    42,791.34/59,032.16 = 27,688.86/x
  3. Step 3: Cross multiply
    42,791.34x = 59,032.16 × 27,688.86
  4. Step 4: Simplify right side
    42,791.34x = 1,634,533,075.29
  5. Step 5: Solve for x
    x = 1,634,533,075.29/42,791.34
  6. Step 6: Final answer
    x = 38,197.75

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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.