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Finding the Fourth Proportional to 65,045.84, 97,567.38 and 29,985.44

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Solution

The fourth proportional to 65,045.84, 97,567.38 and 29,985.44 is: 44,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,045.84 : 97,567.38 = 29,985.44 : x
  2. Step 2: Convert to fraction form
    65,045.84/97,567.38 = 29,985.44/x
  3. Step 3: Cross multiply
    65,045.84x = 97,567.38 × 29,985.44
  4. Step 4: Simplify right side
    65,045.84x = 2,925,600,818.95
  5. Step 5: Solve for x
    x = 2,925,600,818.95/65,045.84
  6. Step 6: Final answer
    x = 44,977.52

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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.