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Finding the Fourth Proportional to 98,590.96, 147,985.08 and 46,037.44

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Solution

The fourth proportional to 98,590.96, 147,985.08 and 46,037.44 is: 69,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,590.96 : 147,985.08 = 46,037.44 : x
  2. Step 2: Convert to fraction form
    98,590.96/147,985.08 = 46,037.44/x
  3. Step 3: Cross multiply
    98,590.96x = 147,985.08 × 46,037.44
  4. Step 4: Simplify right side
    98,590.96x = 6,812,854,241.40
  5. Step 5: Solve for x
    x = 6,812,854,241.40/98,590.96
  6. Step 6: Final answer
    x = 69,102.22

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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.