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Finding the Fourth Proportional to 98,899.64, 148,347.84 and 24,020.40

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Solution

The fourth proportional to 98,899.64, 148,347.84 and 24,020.40 is: 36,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,899.64 : 148,347.84 = 24,020.40 : x
  2. Step 2: Convert to fraction form
    98,899.64/148,347.84 = 24,020.40/x
  3. Step 3: Cross multiply
    98,899.64x = 148,347.84 × 24,020.40
  4. Step 4: Simplify right side
    98,899.64x = 3,563,374,455.94
  5. Step 5: Solve for x
    x = 3,563,374,455.94/98,899.64
  6. Step 6: Final answer
    x = 36,030.21

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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.