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Finding the Fourth Proportional to 31,258, 46,871.05 and 10,184.49

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Solution

The fourth proportional to 31,258, 46,871.05 and 10,184.49 is: 15,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,258 : 46,871.05 = 10,184.49 : x
  2. Step 2: Convert to fraction form
    31,258/46,871.05 = 10,184.49/x
  3. Step 3: Cross multiply
    31,258x = 46,871.05 × 10,184.49
  4. Step 4: Simplify right side
    31,258x = 477,357,740.01
  5. Step 5: Solve for x
    x = 477,357,740.01/31,258
  6. Step 6: Final answer
    x = 15,271.54

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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.