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Finding the Fourth Proportional to 98,526, 135,965.88 and 53,814

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Solution

The fourth proportional to 98,526, 135,965.88 and 53,814 is: 74,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,526 : 135,965.88 = 53,814 : x
  2. Step 2: Convert to fraction form
    98,526/135,965.88 = 53,814/x
  3. Step 3: Cross multiply
    98,526x = 135,965.88 × 53,814
  4. Step 4: Simplify right side
    98,526x = 7,316,867,866.32
  5. Step 5: Solve for x
    x = 7,316,867,866.32/98,526
  6. Step 6: Final answer
    x = 74,263.32

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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.