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Finding the Fourth Proportional to 46,729, 70,093.50 and 13,897

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Solution

The fourth proportional to 46,729, 70,093.50 and 13,897 is: 20,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729 : 70,093.50 = 13,897 : x
  2. Step 2: Convert to fraction form
    46,729/70,093.50 = 13,897/x
  3. Step 3: Cross multiply
    46,729x = 70,093.50 × 13,897
  4. Step 4: Simplify right side
    46,729x = 974,089,369.50
  5. Step 5: Solve for x
    x = 974,089,369.50/46,729
  6. Step 6: Final answer
    x = 20,845.50

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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.