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Finding the Fourth Proportional to 46,741.64, 70,101.12 and 15,572.84

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Solution

The fourth proportional to 46,741.64, 70,101.12 and 15,572.84 is: 23,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,741.64 : 70,101.12 = 15,572.84 : x
  2. Step 2: Convert to fraction form
    46,741.64/70,101.12 = 15,572.84/x
  3. Step 3: Cross multiply
    46,741.64x = 70,101.12 × 15,572.84
  4. Step 4: Simplify right side
    46,741.64x = 1,091,673,525.58
  5. Step 5: Solve for x
    x = 1,091,673,525.58/46,741.64
  6. Step 6: Final answer
    x = 23,355.48

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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.