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Finding the Fourth Proportional to 97,082, 145,536.32 and 37,903.84

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Solution

The fourth proportional to 97,082, 145,536.32 and 37,903.84 is: 56,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082 : 145,536.32 = 37,903.84 : x
  2. Step 2: Convert to fraction form
    97,082/145,536.32 = 37,903.84/x
  3. Step 3: Cross multiply
    97,082x = 145,536.32 × 37,903.84
  4. Step 4: Simplify right side
    97,082x = 5,516,385,387.47
  5. Step 5: Solve for x
    x = 5,516,385,387.47/97,082
  6. Step 6: Final answer
    x = 56,821.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.