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Finding the Fourth Proportional to 52,638.98, 72,646.11 and 29,985.08

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Solution

The fourth proportional to 52,638.98, 72,646.11 and 29,985.08 is: 41,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638.98 : 72,646.11 = 29,985.08 : x
  2. Step 2: Convert to fraction form
    52,638.98/72,646.11 = 29,985.08/x
  3. Step 3: Cross multiply
    52,638.98x = 72,646.11 × 29,985.08
  4. Step 4: Simplify right side
    52,638.98x = 2,178,299,056.81
  5. Step 5: Solve for x
    x = 2,178,299,056.81/52,638.98
  6. Step 6: Final answer
    x = 41,381.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.