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Finding the Fourth Proportional to 99,095.94, 148,657.14 and 28,974.24

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Solution

The fourth proportional to 99,095.94, 148,657.14 and 28,974.24 is: 43,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,095.94 : 148,657.14 = 28,974.24 : x
  2. Step 2: Convert to fraction form
    99,095.94/148,657.14 = 28,974.24/x
  3. Step 3: Cross multiply
    99,095.94x = 148,657.14 × 28,974.24
  4. Step 4: Simplify right side
    99,095.94x = 4,307,227,652.07
  5. Step 5: Solve for x
    x = 4,307,227,652.07/99,095.94
  6. Step 6: Final answer
    x = 43,465.23

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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.