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Finding the Fourth Proportional to 99,045.63, 148,583.16 and 35,870.49

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Solution

The fourth proportional to 99,045.63, 148,583.16 and 35,870.49 is: 53,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,045.63 : 148,583.16 = 35,870.49 : x
  2. Step 2: Convert to fraction form
    99,045.63/148,583.16 = 35,870.49/x
  3. Step 3: Cross multiply
    99,045.63x = 148,583.16 × 35,870.49
  4. Step 4: Simplify right side
    99,045.63x = 5,329,750,754.95
  5. Step 5: Solve for x
    x = 5,329,750,754.95/99,045.63
  6. Step 6: Final answer
    x = 53,811.06

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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.