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Finding the Fourth Proportional to 83,503.77, 115,232.81 and 47,693.04

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Solution

The fourth proportional to 83,503.77, 115,232.81 and 47,693.04 is: 65,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.77 : 115,232.81 = 47,693.04 : x
  2. Step 2: Convert to fraction form
    83,503.77/115,232.81 = 47,693.04/x
  3. Step 3: Cross multiply
    83,503.77x = 115,232.81 × 47,693.04
  4. Step 4: Simplify right side
    83,503.77x = 5,495,803,016.64
  5. Step 5: Solve for x
    x = 5,495,803,016.64/83,503.77
  6. Step 6: Final answer
    x = 65,815.03

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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.