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Finding the Fourth Proportional to 110,045.84, 165,035.40 and 42,565.80

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Solution

The fourth proportional to 110,045.84, 165,035.40 and 42,565.80 is: 63,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,045.84 : 165,035.40 = 42,565.80 : x
  2. Step 2: Convert to fraction form
    110,045.84/165,035.40 = 42,565.80/x
  3. Step 3: Cross multiply
    110,045.84x = 165,035.40 × 42,565.80
  4. Step 4: Simplify right side
    110,045.84x = 7,024,863,829.32
  5. Step 5: Solve for x
    x = 7,024,863,829.32/110,045.84
  6. Step 6: Final answer
    x = 63,835.80

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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.