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Finding the Fourth Proportional to 66,521.50, 99,798.69 and 19,774.18

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Solution

The fourth proportional to 66,521.50, 99,798.69 and 19,774.18 is: 29,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,521.50 : 99,798.69 = 19,774.18 : x
  2. Step 2: Convert to fraction form
    66,521.50/99,798.69 = 19,774.18/x
  3. Step 3: Cross multiply
    66,521.50x = 99,798.69 × 19,774.18
  4. Step 4: Simplify right side
    66,521.50x = 1,973,437,259.82
  5. Step 5: Solve for x
    x = 1,973,437,259.82/66,521.50
  6. Step 6: Final answer
    x = 29,666.16

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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.