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Finding the Fourth Proportional to 98,937.92, 148,455.64 and 46,338.32

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Solution

The fourth proportional to 98,937.92, 148,455.64 and 46,338.32 is: 69,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,937.92 : 148,455.64 = 46,338.32 : x
  2. Step 2: Convert to fraction form
    98,937.92/148,455.64 = 46,338.32/x
  3. Step 3: Cross multiply
    98,937.92x = 148,455.64 × 46,338.32
  4. Step 4: Simplify right side
    98,937.92x = 6,879,184,952.12
  5. Step 5: Solve for x
    x = 6,879,184,952.12/98,937.92
  6. Step 6: Final answer
    x = 69,530.32

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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.