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Finding the Fourth Proportional to 59,830.74, 89,756.79 and 19,852.12

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Solution

The fourth proportional to 59,830.74, 89,756.79 and 19,852.12 is: 29,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,830.74 : 89,756.79 = 19,852.12 : x
  2. Step 2: Convert to fraction form
    59,830.74/89,756.79 = 19,852.12/x
  3. Step 3: Cross multiply
    59,830.74x = 89,756.79 × 19,852.12
  4. Step 4: Simplify right side
    59,830.74x = 1,781,862,466.63
  5. Step 5: Solve for x
    x = 1,781,862,466.63/59,830.74
  6. Step 6: Final answer
    x = 29,781.72

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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.