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Finding the Fourth Proportional to 82,707.98, 114,138.30 and 46,897.20

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Solution

The fourth proportional to 82,707.98, 114,138.30 and 46,897.20 is: 64,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707.98 : 114,138.30 = 46,897.20 : x
  2. Step 2: Convert to fraction form
    82,707.98/114,138.30 = 46,897.20/x
  3. Step 3: Cross multiply
    82,707.98x = 114,138.30 × 46,897.20
  4. Step 4: Simplify right side
    82,707.98x = 5,352,766,682.76
  5. Step 5: Solve for x
    x = 5,352,766,682.76/82,707.98
  6. Step 6: Final answer
    x = 64,718.87

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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.