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Finding the Fourth Proportional to 30,378.46, 45,539.95 and 10,646.25

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Solution

The fourth proportional to 30,378.46, 45,539.95 and 10,646.25 is: 15,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.46 : 45,539.95 = 10,646.25 : x
  2. Step 2: Convert to fraction form
    30,378.46/45,539.95 = 10,646.25/x
  3. Step 3: Cross multiply
    30,378.46x = 45,539.95 × 10,646.25
  4. Step 4: Simplify right side
    30,378.46x = 484,829,549.36
  5. Step 5: Solve for x
    x = 484,829,549.36/30,378.46
  6. Step 6: Final answer
    x = 15,959.65

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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.