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Finding the Fourth Proportional to 52,152.64, 71,970.12 and 29,492.08

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Solution

The fourth proportional to 52,152.64, 71,970.12 and 29,492.08 is: 40,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152.64 : 71,970.12 = 29,492.08 : x
  2. Step 2: Convert to fraction form
    52,152.64/71,970.12 = 29,492.08/x
  3. Step 3: Cross multiply
    52,152.64x = 71,970.12 × 29,492.08
  4. Step 4: Simplify right side
    52,152.64x = 2,122,548,536.65
  5. Step 5: Solve for x
    x = 2,122,548,536.65/52,152.64
  6. Step 6: Final answer
    x = 40,698.77

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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.