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Finding the Fourth Proportional to 30,534.93, 45,804.62 and 9,472.30

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Solution

The fourth proportional to 30,534.93, 45,804.62 and 9,472.30 is: 14,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.93 : 45,804.62 = 9,472.30 : x
  2. Step 2: Convert to fraction form
    30,534.93/45,804.62 = 9,472.30/x
  3. Step 3: Cross multiply
    30,534.93x = 45,804.62 × 9,472.30
  4. Step 4: Simplify right side
    30,534.93x = 433,875,102.03
  5. Step 5: Solve for x
    x = 433,875,102.03/30,534.93
  6. Step 6: Final answer
    x = 14,209.14

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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.