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Finding the Fourth Proportional to 66,477.32, 99,686.76 and 24,895.16

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Solution

The fourth proportional to 66,477.32, 99,686.76 and 24,895.16 is: 37,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477.32 : 99,686.76 = 24,895.16 : x
  2. Step 2: Convert to fraction form
    66,477.32/99,686.76 = 24,895.16/x
  3. Step 3: Cross multiply
    66,477.32x = 99,686.76 × 24,895.16
  4. Step 4: Simplify right side
    66,477.32x = 2,481,717,840.08
  5. Step 5: Solve for x
    x = 2,481,717,840.08/66,477.32
  6. Step 6: Final answer
    x = 37,331.80

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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.