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Finding the Fourth Proportional to 46,742.50, 70,113.75 and 13,910.50

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Solution

The fourth proportional to 46,742.50, 70,113.75 and 13,910.50 is: 20,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,742.50 : 70,113.75 = 13,910.50 : x
  2. Step 2: Convert to fraction form
    46,742.50/70,113.75 = 13,910.50/x
  3. Step 3: Cross multiply
    46,742.50x = 70,113.75 × 13,910.50
  4. Step 4: Simplify right side
    46,742.50x = 975,317,319.38
  5. Step 5: Solve for x
    x = 975,317,319.38/46,742.50
  6. Step 6: Final answer
    x = 20,865.75

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