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Finding the Fourth Proportional to 73,690.75, 101,709.64 and 46,828.01

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Solution

The fourth proportional to 73,690.75, 101,709.64 and 46,828.01 is: 64,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,690.75 : 101,709.64 = 46,828.01 : x
  2. Step 2: Convert to fraction form
    73,690.75/101,709.64 = 46,828.01/x
  3. Step 3: Cross multiply
    73,690.75x = 101,709.64 × 46,828.01
  4. Step 4: Simplify right side
    73,690.75x = 4,762,860,039.02
  5. Step 5: Solve for x
    x = 4,762,860,039.02/73,690.75
  6. Step 6: Final answer
    x = 64,633.08

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Why These Related Problems?

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