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Finding the Fourth Proportional to 83,056.88, 114,631.62 and 52,810.67

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Solution

The fourth proportional to 83,056.88, 114,631.62 and 52,810.67 is: 72,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,056.88 : 114,631.62 = 52,810.67 : x
  2. Step 2: Convert to fraction form
    83,056.88/114,631.62 = 52,810.67/x
  3. Step 3: Cross multiply
    83,056.88x = 114,631.62 × 52,810.67
  4. Step 4: Simplify right side
    83,056.88x = 6,053,772,655.39
  5. Step 5: Solve for x
    x = 6,053,772,655.39/83,056.88
  6. Step 6: Final answer
    x = 72,887.07

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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.