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Finding the Fourth Proportional to 98,376, 135,758.88 and 53,664

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Solution

The fourth proportional to 98,376, 135,758.88 and 53,664 is: 74,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,376 : 135,758.88 = 53,664 : x
  2. Step 2: Convert to fraction form
    98,376/135,758.88 = 53,664/x
  3. Step 3: Cross multiply
    98,376x = 135,758.88 × 53,664
  4. Step 4: Simplify right side
    98,376x = 7,285,364,536.32
  5. Step 5: Solve for x
    x = 7,285,364,536.32/98,376
  6. Step 6: Final answer
    x = 74,056.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.