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Finding the Fourth Proportional to 46,743, 70,114.50 and 13,911

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Solution

The fourth proportional to 46,743, 70,114.50 and 13,911 is: 20,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,743 : 70,114.50 = 13,911 : x
  2. Step 2: Convert to fraction form
    46,743/70,114.50 = 13,911/x
  3. Step 3: Cross multiply
    46,743x = 70,114.50 × 13,911
  4. Step 4: Simplify right side
    46,743x = 975,362,809.50
  5. Step 5: Solve for x
    x = 975,362,809.50/46,743
  6. Step 6: Final answer
    x = 20,866.50

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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.