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Finding the Fourth Proportional to 102,403, 153,604.50 and 24,579

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Solution

The fourth proportional to 102,403, 153,604.50 and 24,579 is: 36,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,403 : 153,604.50 = 24,579 : x
  2. Step 2: Convert to fraction form
    102,403/153,604.50 = 24,579/x
  3. Step 3: Cross multiply
    102,403x = 153,604.50 × 24,579
  4. Step 4: Simplify right side
    102,403x = 3,775,445,005.50
  5. Step 5: Solve for x
    x = 3,775,445,005.50/102,403
  6. Step 6: Final answer
    x = 36,868.50

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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.