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Finding the Fourth Proportional to 98,307.84, 135,664.74 and 53,595.84

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Solution

The fourth proportional to 98,307.84, 135,664.74 and 53,595.84 is: 73,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,307.84 : 135,664.74 = 53,595.84 : x
  2. Step 2: Convert to fraction form
    98,307.84/135,664.74 = 53,595.84/x
  3. Step 3: Cross multiply
    98,307.84x = 135,664.74 × 53,595.84
  4. Step 4: Simplify right side
    98,307.84x = 7,271,065,698.68
  5. Step 5: Solve for x
    x = 7,271,065,698.68/98,307.84
  6. Step 6: Final answer
    x = 73,962.22

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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.