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Finding the Fourth Proportional to 30,259.40, 45,378.30 and 10,538.60

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Solution

The fourth proportional to 30,259.40, 45,378.30 and 10,538.60 is: 15,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.40 : 45,378.30 = 10,538.60 : x
  2. Step 2: Convert to fraction form
    30,259.40/45,378.30 = 10,538.60/x
  3. Step 3: Cross multiply
    30,259.40x = 45,378.30 × 10,538.60
  4. Step 4: Simplify right side
    30,259.40x = 478,223,752.38
  5. Step 5: Solve for x
    x = 478,223,752.38/30,259.40
  6. Step 6: Final answer
    x = 15,804.14

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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.