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Finding the Fourth Proportional to 30,752.12, 46,023.60 and 19,666.40

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Solution

The fourth proportional to 30,752.12, 46,023.60 and 19,666.40 is: 29,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.12 : 46,023.60 = 19,666.40 : x
  2. Step 2: Convert to fraction form
    30,752.12/46,023.60 = 19,666.40/x
  3. Step 3: Cross multiply
    30,752.12x = 46,023.60 × 19,666.40
  4. Step 4: Simplify right side
    30,752.12x = 905,118,527.04
  5. Step 5: Solve for x
    x = 905,118,527.04/30,752.12
  6. Step 6: Final answer
    x = 29,432.72

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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.