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Finding the Fourth Proportional to 64,877.82, 97,283.52 and 29,787

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Solution

The fourth proportional to 64,877.82, 97,283.52 and 29,787 is: 44,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877.82 : 97,283.52 = 29,787 : x
  2. Step 2: Convert to fraction form
    64,877.82/97,283.52 = 29,787/x
  3. Step 3: Cross multiply
    64,877.82x = 97,283.52 × 29,787
  4. Step 4: Simplify right side
    64,877.82x = 2,897,784,210.24
  5. Step 5: Solve for x
    x = 2,897,784,210.24/64,877.82
  6. Step 6: Final answer
    x = 44,665.25

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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.