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Finding the Fourth Proportional to 76,269.49, 105,189.49 and 53,683.25

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Solution

The fourth proportional to 76,269.49, 105,189.49 and 53,683.25 is: 74,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,269.49 : 105,189.49 = 53,683.25 : x
  2. Step 2: Convert to fraction form
    76,269.49/105,189.49 = 53,683.25/x
  3. Step 3: Cross multiply
    76,269.49x = 105,189.49 × 53,683.25
  4. Step 4: Simplify right side
    76,269.49x = 5,646,913,689.04
  5. Step 5: Solve for x
    x = 5,646,913,689.04/76,269.49
  6. Step 6: Final answer
    x = 74,038.96

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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.