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Finding the Fourth Proportional to 30,259.80, 45,389.96 and 10,538.32

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Solution

The fourth proportional to 30,259.80, 45,389.96 and 10,538.32 is: 15,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.80 : 45,389.96 = 10,538.32 : x
  2. Step 2: Convert to fraction form
    30,259.80/45,389.96 = 10,538.32/x
  3. Step 3: Cross multiply
    30,259.80x = 45,389.96 × 10,538.32
  4. Step 4: Simplify right side
    30,259.80x = 478,333,923.27
  5. Step 5: Solve for x
    x = 478,333,923.27/30,259.80
  6. Step 6: Final answer
    x = 15,807.57

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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.