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Finding the Fourth Proportional to 98,926.94, 148,374.11 and 27,854.51

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Solution

The fourth proportional to 98,926.94, 148,374.11 and 27,854.51 is: 41,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,926.94 : 148,374.11 = 27,854.51 : x
  2. Step 2: Convert to fraction form
    98,926.94/148,374.11 = 27,854.51/x
  3. Step 3: Cross multiply
    98,926.94x = 148,374.11 × 27,854.51
  4. Step 4: Simplify right side
    98,926.94x = 4,132,887,458.50
  5. Step 5: Solve for x
    x = 4,132,887,458.50/98,926.94
  6. Step 6: Final answer
    x = 41,777.17

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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.