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Finding the Fourth Proportional to 83,678.74, 115,477.41 and 45,953.26

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Solution

The fourth proportional to 83,678.74, 115,477.41 and 45,953.26 is: 63,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678.74 : 115,477.41 = 45,953.26 : x
  2. Step 2: Convert to fraction form
    83,678.74/115,477.41 = 45,953.26/x
  3. Step 3: Cross multiply
    83,678.74x = 115,477.41 × 45,953.26
  4. Step 4: Simplify right side
    83,678.74x = 5,306,563,445.86
  5. Step 5: Solve for x
    x = 5,306,563,445.86/83,678.74
  6. Step 6: Final answer
    x = 63,415.91

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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.