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Finding the Fourth Proportional to 31,274.84, 46,871.58 and 23,852

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Solution

The fourth proportional to 31,274.84, 46,871.58 and 23,852 is: 35,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.84 : 46,871.58 = 23,852 : x
  2. Step 2: Convert to fraction form
    31,274.84/46,871.58 = 23,852/x
  3. Step 3: Cross multiply
    31,274.84x = 46,871.58 × 23,852
  4. Step 4: Simplify right side
    31,274.84x = 1,117,980,926.16
  5. Step 5: Solve for x
    x = 1,117,980,926.16/31,274.84
  6. Step 6: Final answer
    x = 35,746.98

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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.