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Finding the Fourth Proportional to 30,534.08, 45,807.65 and 9,473.66

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Solution

The fourth proportional to 30,534.08, 45,807.65 and 9,473.66 is: 14,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.08 : 45,807.65 = 9,473.66 : x
  2. Step 2: Convert to fraction form
    30,534.08/45,807.65 = 9,473.66/x
  3. Step 3: Cross multiply
    30,534.08x = 45,807.65 × 9,473.66
  4. Step 4: Simplify right side
    30,534.08x = 433,966,239.70
  5. Step 5: Solve for x
    x = 433,966,239.70/30,534.08
  6. Step 6: Final answer
    x = 14,212.52

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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.