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Finding the Fourth Proportional to 64,494.54, 96,779.88 and 24,547.17

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Solution

The fourth proportional to 64,494.54, 96,779.88 and 24,547.17 is: 36,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.54 : 96,779.88 = 24,547.17 : x
  2. Step 2: Convert to fraction form
    64,494.54/96,779.88 = 24,547.17/x
  3. Step 3: Cross multiply
    64,494.54x = 96,779.88 × 24,547.17
  4. Step 4: Simplify right side
    64,494.54x = 2,375,672,166.94
  5. Step 5: Solve for x
    x = 2,375,672,166.94/64,494.54
  6. Step 6: Final answer
    x = 36,835.24

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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.