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Finding the Fourth Proportional to 46,842.30, 70,267.10 and 13,562.84

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Solution

The fourth proportional to 46,842.30, 70,267.10 and 13,562.84 is: 20,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,842.30 : 70,267.10 = 13,562.84 : x
  2. Step 2: Convert to fraction form
    46,842.30/70,267.10 = 13,562.84/x
  3. Step 3: Cross multiply
    46,842.30x = 70,267.10 × 13,562.84
  4. Step 4: Simplify right side
    46,842.30x = 953,021,542.42
  5. Step 5: Solve for x
    x = 953,021,542.42/46,842.30
  6. Step 6: Final answer
    x = 20,345.32

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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.