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Finding the Fourth Proportional to 30,537.70, 45,804.32 and 9,477.18

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Solution

The fourth proportional to 30,537.70, 45,804.32 and 9,477.18 is: 14,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.70 : 45,804.32 = 9,477.18 : x
  2. Step 2: Convert to fraction form
    30,537.70/45,804.32 = 9,477.18/x
  3. Step 3: Cross multiply
    30,537.70x = 45,804.32 × 9,477.18
  4. Step 4: Simplify right side
    30,537.70x = 434,095,785.42
  5. Step 5: Solve for x
    x = 434,095,785.42/30,537.70
  6. Step 6: Final answer
    x = 14,215.08

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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.