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Finding the Fourth Proportional to 66,176.32, 99,268.80 and 48,460

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Solution

The fourth proportional to 66,176.32, 99,268.80 and 48,460 is: 72,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,176.32 : 99,268.80 = 48,460 : x
  2. Step 2: Convert to fraction form
    66,176.32/99,268.80 = 48,460/x
  3. Step 3: Cross multiply
    66,176.32x = 99,268.80 × 48,460
  4. Step 4: Simplify right side
    66,176.32x = 4,810,566,048
  5. Step 5: Solve for x
    x = 4,810,566,048/66,176.32
  6. Step 6: Final answer
    x = 72,693.16

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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.