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Finding the Fourth Proportional to 84,762.75, 116,976.24 and 47,037

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Solution

The fourth proportional to 84,762.75, 116,976.24 and 47,037 is: 64,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762.75 : 116,976.24 = 47,037 : x
  2. Step 2: Convert to fraction form
    84,762.75/116,976.24 = 47,037/x
  3. Step 3: Cross multiply
    84,762.75x = 116,976.24 × 47,037
  4. Step 4: Simplify right side
    84,762.75x = 5,502,211,400.88
  5. Step 5: Solve for x
    x = 5,502,211,400.88/84,762.75
  6. Step 6: Final answer
    x = 64,913.08

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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.