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Finding the Fourth Proportional to 30,259.55, 45,395.40 and 9,200.90

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Solution

The fourth proportional to 30,259.55, 45,395.40 and 9,200.90 is: 13,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.55 : 45,395.40 = 9,200.90 : x
  2. Step 2: Convert to fraction form
    30,259.55/45,395.40 = 9,200.90/x
  3. Step 3: Cross multiply
    30,259.55x = 45,395.40 × 9,200.90
  4. Step 4: Simplify right side
    30,259.55x = 417,678,535.86
  5. Step 5: Solve for x
    x = 417,678,535.86/30,259.55
  6. Step 6: Final answer
    x = 13,803.20

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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.