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Finding the Fourth Proportional to 35,725.32, 49,307.76 and 20,627.76

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Solution

The fourth proportional to 35,725.32, 49,307.76 and 20,627.76 is: 28,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725.32 : 49,307.76 = 20,627.76 : x
  2. Step 2: Convert to fraction form
    35,725.32/49,307.76 = 20,627.76/x
  3. Step 3: Cross multiply
    35,725.32x = 49,307.76 × 20,627.76
  4. Step 4: Simplify right side
    35,725.32x = 1,017,108,639.42
  5. Step 5: Solve for x
    x = 1,017,108,639.42/35,725.32
  6. Step 6: Final answer
    x = 28,470.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.