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Finding the Fourth Proportional to 65,741.39, 90,731.10 and 37,066.58

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Solution

The fourth proportional to 65,741.39, 90,731.10 and 37,066.58 is: 51,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,741.39 : 90,731.10 = 37,066.58 : x
  2. Step 2: Convert to fraction form
    65,741.39/90,731.10 = 37,066.58/x
  3. Step 3: Cross multiply
    65,741.39x = 90,731.10 × 37,066.58
  4. Step 4: Simplify right side
    65,741.39x = 3,363,091,602.22
  5. Step 5: Solve for x
    x = 3,363,091,602.22/65,741.39
  6. Step 6: Final answer
    x = 51,156.38

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Why These Related Problems?

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