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Finding the Fourth Proportional to 98,345, 147,518.04 and 24,473

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Solution

The fourth proportional to 98,345, 147,518.04 and 24,473 is: 36,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,345 : 147,518.04 = 24,473 : x
  2. Step 2: Convert to fraction form
    98,345/147,518.04 = 24,473/x
  3. Step 3: Cross multiply
    98,345x = 147,518.04 × 24,473
  4. Step 4: Simplify right side
    98,345x = 3,610,208,992.92
  5. Step 5: Solve for x
    x = 3,610,208,992.92/98,345
  6. Step 6: Final answer
    x = 36,709.63

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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.