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Finding the Fourth Proportional to 30,903.07, 46,352.27 and 9,842.26

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Solution

The fourth proportional to 30,903.07, 46,352.27 and 9,842.26 is: 14,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.07 : 46,352.27 = 9,842.26 : x
  2. Step 2: Convert to fraction form
    30,903.07/46,352.27 = 9,842.26/x
  3. Step 3: Cross multiply
    30,903.07x = 46,352.27 × 9,842.26
  4. Step 4: Simplify right side
    30,903.07x = 456,210,811.96
  5. Step 5: Solve for x
    x = 456,210,811.96/30,903.07
  6. Step 6: Final answer
    x = 14,762.64

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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.