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Finding the Fourth Proportional to 83,688.95, 115,457.37 and 53,466.44

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Solution

The fourth proportional to 83,688.95, 115,457.37 and 53,466.44 is: 73,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,688.95 : 115,457.37 = 53,466.44 : x
  2. Step 2: Convert to fraction form
    83,688.95/115,457.37 = 53,466.44/x
  3. Step 3: Cross multiply
    83,688.95x = 115,457.37 × 53,466.44
  4. Step 4: Simplify right side
    83,688.95x = 6,173,093,767.88
  5. Step 5: Solve for x
    x = 6,173,093,767.88/83,688.95
  6. Step 6: Final answer
    x = 73,762.35

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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.