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Finding the Fourth Proportional to 98,565.08, 147,848.70 and 28,445

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Solution

The fourth proportional to 98,565.08, 147,848.70 and 28,445 is: 42,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,565.08 : 147,848.70 = 28,445 : x
  2. Step 2: Convert to fraction form
    98,565.08/147,848.70 = 28,445/x
  3. Step 3: Cross multiply
    98,565.08x = 147,848.70 × 28,445
  4. Step 4: Simplify right side
    98,565.08x = 4,205,556,271.50
  5. Step 5: Solve for x
    x = 4,205,556,271.50/98,565.08
  6. Step 6: Final answer
    x = 42,667.81

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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.