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Finding the Fourth Proportional to 75,024.88, 103,588.55 and 46,383.81

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Solution

The fourth proportional to 75,024.88, 103,588.55 and 46,383.81 is: 64,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024.88 : 103,588.55 = 46,383.81 : x
  2. Step 2: Convert to fraction form
    75,024.88/103,588.55 = 46,383.81/x
  3. Step 3: Cross multiply
    75,024.88x = 103,588.55 × 46,383.81
  4. Step 4: Simplify right side
    75,024.88x = 4,804,831,621.38
  5. Step 5: Solve for x
    x = 4,804,831,621.38/75,024.88
  6. Step 6: Final answer
    x = 64,043.18

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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.