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Finding the Fourth Proportional to 83,223.84, 124,725.60 and 43,700.16

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Solution

The fourth proportional to 83,223.84, 124,725.60 and 43,700.16 is: 65,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.84 : 124,725.60 = 43,700.16 : x
  2. Step 2: Convert to fraction form
    83,223.84/124,725.60 = 43,700.16/x
  3. Step 3: Cross multiply
    83,223.84x = 124,725.60 × 43,700.16
  4. Step 4: Simplify right side
    83,223.84x = 5,450,528,676.10
  5. Step 5: Solve for x
    x = 5,450,528,676.10/83,223.84
  6. Step 6: Final answer
    x = 65,492.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.