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Finding the Fourth Proportional to 145,032, 217,548 and 51,541.44

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Solution

The fourth proportional to 145,032, 217,548 and 51,541.44 is: 77,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,032 : 217,548 = 51,541.44 : x
  2. Step 2: Convert to fraction form
    145,032/217,548 = 51,541.44/x
  3. Step 3: Cross multiply
    145,032x = 217,548 × 51,541.44
  4. Step 4: Simplify right side
    145,032x = 11,212,737,189.12
  5. Step 5: Solve for x
    x = 11,212,737,189.12/145,032
  6. Step 6: Final answer
    x = 77,312.16

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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.