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Finding the Fourth Proportional to 96,565.70, 144,848.55 and 30,005.30

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Solution

The fourth proportional to 96,565.70, 144,848.55 and 30,005.30 is: 45,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,565.70 : 144,848.55 = 30,005.30 : x
  2. Step 2: Convert to fraction form
    96,565.70/144,848.55 = 30,005.30/x
  3. Step 3: Cross multiply
    96,565.70x = 144,848.55 × 30,005.30
  4. Step 4: Simplify right side
    96,565.70x = 4,346,224,197.32
  5. Step 5: Solve for x
    x = 4,346,224,197.32/96,565.70
  6. Step 6: Final answer
    x = 45,007.95

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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.