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Finding the Fourth Proportional to 72,463, 108,421.98 and 42,894.76

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Solution

The fourth proportional to 72,463, 108,421.98 and 42,894.76 is: 64,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,463 : 108,421.98 = 42,894.76 : x
  2. Step 2: Convert to fraction form
    72,463/108,421.98 = 42,894.76/x
  3. Step 3: Cross multiply
    72,463x = 108,421.98 × 42,894.76
  4. Step 4: Simplify right side
    72,463x = 4,650,734,810.82
  5. Step 5: Solve for x
    x = 4,650,734,810.82/72,463
  6. Step 6: Final answer
    x = 64,180.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.