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Finding the Fourth Proportional to 84,465.84, 116,563.68 and 46,740

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Solution

The fourth proportional to 84,465.84, 116,563.68 and 46,740 is: 64,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,465.84 : 116,563.68 = 46,740 : x
  2. Step 2: Convert to fraction form
    84,465.84/116,563.68 = 46,740/x
  3. Step 3: Cross multiply
    84,465.84x = 116,563.68 × 46,740
  4. Step 4: Simplify right side
    84,465.84x = 5,448,186,403.20
  5. Step 5: Solve for x
    x = 5,448,186,403.20/84,465.84
  6. Step 6: Final answer
    x = 64,501.65

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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.