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Finding the Fourth Proportional to 84,706, 116,894.28 and 46,988.08

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Solution

The fourth proportional to 84,706, 116,894.28 and 46,988.08 is: 64,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706 : 116,894.28 = 46,988.08 : x
  2. Step 2: Convert to fraction form
    84,706/116,894.28 = 46,988.08/x
  3. Step 3: Cross multiply
    84,706x = 116,894.28 × 46,988.08
  4. Step 4: Simplify right side
    84,706x = 5,492,637,780.18
  5. Step 5: Solve for x
    x = 5,492,637,780.18/84,706
  6. Step 6: Final answer
    x = 64,843.55

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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.