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Finding the Fourth Proportional to 35,866.64, 53,822.43 and 13,681.95

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Solution

The fourth proportional to 35,866.64, 53,822.43 and 13,681.95 is: 20,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866.64 : 53,822.43 = 13,681.95 : x
  2. Step 2: Convert to fraction form
    35,866.64/53,822.43 = 13,681.95/x
  3. Step 3: Cross multiply
    35,866.64x = 53,822.43 × 13,681.95
  4. Step 4: Simplify right side
    35,866.64x = 736,395,796.14
  5. Step 5: Solve for x
    x = 736,395,796.14/35,866.64
  6. Step 6: Final answer
    x = 20,531.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.