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Finding the Fourth Proportional to 30,538.42, 45,805.47 and 9,477.95

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Solution

The fourth proportional to 30,538.42, 45,805.47 and 9,477.95 is: 14,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.42 : 45,805.47 = 9,477.95 : x
  2. Step 2: Convert to fraction form
    30,538.42/45,805.47 = 9,477.95/x
  3. Step 3: Cross multiply
    30,538.42x = 45,805.47 × 9,477.95
  4. Step 4: Simplify right side
    30,538.42x = 434,141,689.82
  5. Step 5: Solve for x
    x = 434,141,689.82/30,538.42
  6. Step 6: Final answer
    x = 14,216.25

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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.