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Finding the Fourth Proportional to 83,316, 114,976.08 and 45,590.25

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Solution

The fourth proportional to 83,316, 114,976.08 and 45,590.25 is: 62,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316 : 114,976.08 = 45,590.25 : x
  2. Step 2: Convert to fraction form
    83,316/114,976.08 = 45,590.25/x
  3. Step 3: Cross multiply
    83,316x = 114,976.08 × 45,590.25
  4. Step 4: Simplify right side
    83,316x = 5,241,788,231.22
  5. Step 5: Solve for x
    x = 5,241,788,231.22/83,316
  6. Step 6: Final answer
    x = 62,914.55

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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.