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Finding the Fourth Proportional to 30,790.18, 46,191.53 and 9,733.51

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Solution

The fourth proportional to 30,790.18, 46,191.53 and 9,733.51 is: 14,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.18 : 46,191.53 = 9,733.51 : x
  2. Step 2: Convert to fraction form
    30,790.18/46,191.53 = 9,733.51/x
  3. Step 3: Cross multiply
    30,790.18x = 46,191.53 × 9,733.51
  4. Step 4: Simplify right side
    30,790.18x = 449,605,670.50
  5. Step 5: Solve for x
    x = 449,605,670.50/30,790.18
  6. Step 6: Final answer
    x = 14,602.24

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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.