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Finding the Fourth Proportional to 67,402, 93,014.76 and 37,594

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Solution

The fourth proportional to 67,402, 93,014.76 and 37,594 is: 51,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,402 : 93,014.76 = 37,594 : x
  2. Step 2: Convert to fraction form
    67,402/93,014.76 = 37,594/x
  3. Step 3: Cross multiply
    67,402x = 93,014.76 × 37,594
  4. Step 4: Simplify right side
    67,402x = 3,496,796,887.44
  5. Step 5: Solve for x
    x = 3,496,796,887.44/67,402
  6. Step 6: Final answer
    x = 51,879.72

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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.