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Finding the Fourth Proportional to 66,539.80, 99,809.70 and 31,547.80

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Solution

The fourth proportional to 66,539.80, 99,809.70 and 31,547.80 is: 47,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,539.80 : 99,809.70 = 31,547.80 : x
  2. Step 2: Convert to fraction form
    66,539.80/99,809.70 = 31,547.80/x
  3. Step 3: Cross multiply
    66,539.80x = 99,809.70 × 31,547.80
  4. Step 4: Simplify right side
    66,539.80x = 3,148,776,453.66
  5. Step 5: Solve for x
    x = 3,148,776,453.66/66,539.80
  6. Step 6: Final answer
    x = 47,321.70

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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.