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Finding the Fourth Proportional to 51,045, 70,442.10 and 28,689

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Solution

The fourth proportional to 51,045, 70,442.10 and 28,689 is: 39,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045 : 70,442.10 = 28,689 : x
  2. Step 2: Convert to fraction form
    51,045/70,442.10 = 28,689/x
  3. Step 3: Cross multiply
    51,045x = 70,442.10 × 28,689
  4. Step 4: Simplify right side
    51,045x = 2,020,913,406.90
  5. Step 5: Solve for x
    x = 2,020,913,406.90/51,045
  6. Step 6: Final answer
    x = 39,590.82

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