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Finding the Fourth Proportional to 61,442.70, 92,164 and 35,128.98

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Solution

The fourth proportional to 61,442.70, 92,164 and 35,128.98 is: 52,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442.70 : 92,164 = 35,128.98 : x
  2. Step 2: Convert to fraction form
    61,442.70/92,164 = 35,128.98/x
  3. Step 3: Cross multiply
    61,442.70x = 92,164 × 35,128.98
  4. Step 4: Simplify right side
    61,442.70x = 3,237,627,312.72
  5. Step 5: Solve for x
    x = 3,237,627,312.72/61,442.70
  6. Step 6: Final answer
    x = 52,693.45

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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.