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Finding the Fourth Proportional to 98,181.84, 147,325.55 and 39,018

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Solution

The fourth proportional to 98,181.84, 147,325.55 and 39,018 is: 58,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,181.84 : 147,325.55 = 39,018 : x
  2. Step 2: Convert to fraction form
    98,181.84/147,325.55 = 39,018/x
  3. Step 3: Cross multiply
    98,181.84x = 147,325.55 × 39,018
  4. Step 4: Simplify right side
    98,181.84x = 5,748,348,114.81
  5. Step 5: Solve for x
    x = 5,748,348,114.81/98,181.84
  6. Step 6: Final answer
    x = 58,547.98

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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.