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Finding the Fourth Proportional to 97,071, 145,606.38 and 30,516.94

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Solution

The fourth proportional to 97,071, 145,606.38 and 30,516.94 is: 45,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,071 : 145,606.38 = 30,516.94 : x
  2. Step 2: Convert to fraction form
    97,071/145,606.38 = 30,516.94/x
  3. Step 3: Cross multiply
    97,071x = 145,606.38 × 30,516.94
  4. Step 4: Simplify right side
    97,071x = 4,443,461,162.08
  5. Step 5: Solve for x
    x = 4,443,461,162.08/97,071
  6. Step 6: Final answer
    x = 45,775.37

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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.