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Finding the Fourth Proportional to 46,465.44, 64,101.74 and 27,591.63

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Solution

The fourth proportional to 46,465.44, 64,101.74 and 27,591.63 is: 38,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,465.44 : 64,101.74 = 27,591.63 : x
  2. Step 2: Convert to fraction form
    46,465.44/64,101.74 = 27,591.63/x
  3. Step 3: Cross multiply
    46,465.44x = 64,101.74 × 27,591.63
  4. Step 4: Simplify right side
    46,465.44x = 1,768,671,492.44
  5. Step 5: Solve for x
    x = 1,768,671,492.44/46,465.44
  6. Step 6: Final answer
    x = 38,064.24

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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.