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Finding the Fourth Proportional to 98,364, 135,746.88 and 53,652

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Solution

The fourth proportional to 98,364, 135,746.88 and 53,652 is: 74,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,364 : 135,746.88 = 53,652 : x
  2. Step 2: Convert to fraction form
    98,364/135,746.88 = 53,652/x
  3. Step 3: Cross multiply
    98,364x = 135,746.88 × 53,652
  4. Step 4: Simplify right side
    98,364x = 7,283,091,605.76
  5. Step 5: Solve for x
    x = 7,283,091,605.76/98,364
  6. Step 6: Final answer
    x = 74,042.25

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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.