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Finding the Fourth Proportional to 98,074.52, 147,097.74 and 31,506.08

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Solution

The fourth proportional to 98,074.52, 147,097.74 and 31,506.08 is: 47,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,074.52 : 147,097.74 = 31,506.08 : x
  2. Step 2: Convert to fraction form
    98,074.52/147,097.74 = 31,506.08/x
  3. Step 3: Cross multiply
    98,074.52x = 147,097.74 × 31,506.08
  4. Step 4: Simplify right side
    98,074.52x = 4,634,473,164.26
  5. Step 5: Solve for x
    x = 4,634,473,164.26/98,074.52
  6. Step 6: Final answer
    x = 47,254.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.