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Finding the Fourth Proportional to 82,765.76, 114,219.34 and 46,957.28

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Solution

The fourth proportional to 82,765.76, 114,219.34 and 46,957.28 is: 64,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.76 : 114,219.34 = 46,957.28 : x
  2. Step 2: Convert to fraction form
    82,765.76/114,219.34 = 46,957.28/x
  3. Step 3: Cross multiply
    82,765.76x = 114,219.34 × 46,957.28
  4. Step 4: Simplify right side
    82,765.76x = 5,363,429,529.80
  5. Step 5: Solve for x
    x = 5,363,429,529.80/82,765.76
  6. Step 6: Final answer
    x = 64,802.52

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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.