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Finding the Fourth Proportional to 98,345.54, 147,564.59 and 48,467.77

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Solution

The fourth proportional to 98,345.54, 147,564.59 and 48,467.77 is: 72,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,345.54 : 147,564.59 = 48,467.77 : x
  2. Step 2: Convert to fraction form
    98,345.54/147,564.59 = 48,467.77/x
  3. Step 3: Cross multiply
    98,345.54x = 147,564.59 × 48,467.77
  4. Step 4: Simplify right side
    98,345.54x = 7,152,125,997.01
  5. Step 5: Solve for x
    x = 7,152,125,997.01/98,345.54
  6. Step 6: Final answer
    x = 72,724.46

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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.