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Finding the Fourth Proportional to 98,536.76, 135,981.26 and 53,824.76

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Solution

The fourth proportional to 98,536.76, 135,981.26 and 53,824.76 is: 74,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.76 : 135,981.26 = 53,824.76 : x
  2. Step 2: Convert to fraction form
    98,536.76/135,981.26 = 53,824.76/x
  3. Step 3: Cross multiply
    98,536.76x = 135,981.26 × 53,824.76
  4. Step 4: Simplify right side
    98,536.76x = 7,319,158,684.00
  5. Step 5: Solve for x
    x = 7,319,158,684.00/98,536.76
  6. Step 6: Final answer
    x = 74,278.46

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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.