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Finding the Fourth Proportional to 162,002.40, 242,972.28 and 49,655.40

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Solution

The fourth proportional to 162,002.40, 242,972.28 and 49,655.40 is: 74,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.40 : 242,972.28 = 49,655.40 : x
  2. Step 2: Convert to fraction form
    162,002.40/242,972.28 = 49,655.40/x
  3. Step 3: Cross multiply
    162,002.40x = 242,972.28 × 49,655.40
  4. Step 4: Simplify right side
    162,002.40x = 12,064,885,752.31
  5. Step 5: Solve for x
    x = 12,064,885,752.31/162,002.40
  6. Step 6: Final answer
    x = 74,473.50

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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.