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Finding the Fourth Proportional to 98,762.16, 148,094.88 and 48,826.08

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Solution

The fourth proportional to 98,762.16, 148,094.88 and 48,826.08 is: 73,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,762.16 : 148,094.88 = 48,826.08 : x
  2. Step 2: Convert to fraction form
    98,762.16/148,094.88 = 48,826.08/x
  3. Step 3: Cross multiply
    98,762.16x = 148,094.88 × 48,826.08
  4. Step 4: Simplify right side
    98,762.16x = 7,230,892,458.47
  5. Step 5: Solve for x
    x = 7,230,892,458.47/98,762.16
  6. Step 6: Final answer
    x = 73,215.21

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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.