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Finding the Fourth Proportional to 83,297.32, 114,963.30 and 53,095.72

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Solution

The fourth proportional to 83,297.32, 114,963.30 and 53,095.72 is: 73,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,297.32 : 114,963.30 = 53,095.72 : x
  2. Step 2: Convert to fraction form
    83,297.32/114,963.30 = 53,095.72/x
  3. Step 3: Cross multiply
    83,297.32x = 114,963.30 × 53,095.72
  4. Step 4: Simplify right side
    83,297.32x = 6,104,059,187.08
  5. Step 5: Solve for x
    x = 6,104,059,187.08/83,297.32
  6. Step 6: Final answer
    x = 73,280.38

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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.