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Finding the Fourth Proportional to 30,839.42, 46,260.01 and 9,779.56

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Solution

The fourth proportional to 30,839.42, 46,260.01 and 9,779.56 is: 14,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.42 : 46,260.01 = 9,779.56 : x
  2. Step 2: Convert to fraction form
    30,839.42/46,260.01 = 9,779.56/x
  3. Step 3: Cross multiply
    30,839.42x = 46,260.01 × 9,779.56
  4. Step 4: Simplify right side
    30,839.42x = 452,402,543.40
  5. Step 5: Solve for x
    x = 452,402,543.40/30,839.42
  6. Step 6: Final answer
    x = 14,669.62

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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.