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Finding the Fourth Proportional to 84,383.02, 116,448.06 and 46,657

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Solution

The fourth proportional to 84,383.02, 116,448.06 and 46,657 is: 64,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383.02 : 116,448.06 = 46,657 : x
  2. Step 2: Convert to fraction form
    84,383.02/116,448.06 = 46,657/x
  3. Step 3: Cross multiply
    84,383.02x = 116,448.06 × 46,657
  4. Step 4: Simplify right side
    84,383.02x = 5,433,117,135.42
  5. Step 5: Solve for x
    x = 5,433,117,135.42/84,383.02
  6. Step 6: Final answer
    x = 64,386.38

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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.