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Finding the Fourth Proportional to 37,322.10, 51,509.16 and 21,406.32

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Solution

The fourth proportional to 37,322.10, 51,509.16 and 21,406.32 is: 29,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322.10 : 51,509.16 = 21,406.32 : x
  2. Step 2: Convert to fraction form
    37,322.10/51,509.16 = 21,406.32/x
  3. Step 3: Cross multiply
    37,322.10x = 51,509.16 × 21,406.32
  4. Step 4: Simplify right side
    37,322.10x = 1,102,621,561.89
  5. Step 5: Solve for x
    x = 1,102,621,561.89/37,322.10
  6. Step 6: Final answer
    x = 29,543.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.