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Finding the Fourth Proportional to 98,907.64, 148,359.84 and 24,028.40

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Solution

The fourth proportional to 98,907.64, 148,359.84 and 24,028.40 is: 36,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,907.64 : 148,359.84 = 24,028.40 : x
  2. Step 2: Convert to fraction form
    98,907.64/148,359.84 = 24,028.40/x
  3. Step 3: Cross multiply
    98,907.64x = 148,359.84 × 24,028.40
  4. Step 4: Simplify right side
    98,907.64x = 3,564,849,579.46
  5. Step 5: Solve for x
    x = 3,564,849,579.46/98,907.64
  6. Step 6: Final answer
    x = 36,042.21

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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.