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Finding the Fourth Proportional to 37,052.16, 51,085.44 and 29,480.64

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Solution

The fourth proportional to 37,052.16, 51,085.44 and 29,480.64 is: 40,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,052.16 : 51,085.44 = 29,480.64 : x
  2. Step 2: Convert to fraction form
    37,052.16/51,085.44 = 29,480.64/x
  3. Step 3: Cross multiply
    37,052.16x = 51,085.44 × 29,480.64
  4. Step 4: Simplify right side
    37,052.16x = 1,506,031,465.88
  5. Step 5: Solve for x
    x = 1,506,031,465.88/37,052.16
  6. Step 6: Final answer
    x = 40,646.25

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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.