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Finding the Fourth Proportional to 83,274.04, 114,929.13 and 47,455.84

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Solution

The fourth proportional to 83,274.04, 114,929.13 and 47,455.84 is: 65,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.04 : 114,929.13 = 47,455.84 : x
  2. Step 2: Convert to fraction form
    83,274.04/114,929.13 = 47,455.84/x
  3. Step 3: Cross multiply
    83,274.04x = 114,929.13 × 47,455.84
  4. Step 4: Simplify right side
    83,274.04x = 5,454,058,459.30
  5. Step 5: Solve for x
    x = 5,454,058,459.30/83,274.04
  6. Step 6: Final answer
    x = 65,495.30

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1.5x scale

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.