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Finding the Fourth Proportional to 98,037.16, 135,303.30 and 57,748.84

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Solution

The fourth proportional to 98,037.16, 135,303.30 and 57,748.84 is: 79,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,037.16 : 135,303.30 = 57,748.84 : x
  2. Step 2: Convert to fraction form
    98,037.16/135,303.30 = 57,748.84/x
  3. Step 3: Cross multiply
    98,037.16x = 135,303.30 × 57,748.84
  4. Step 4: Simplify right side
    98,037.16x = 7,813,608,623.17
  5. Step 5: Solve for x
    x = 7,813,608,623.17/98,037.16
  6. Step 6: Final answer
    x = 79,700.48

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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.