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Finding the Fourth Proportional to 98,547.67, 147,822.32 and 42,383.89

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Solution

The fourth proportional to 98,547.67, 147,822.32 and 42,383.89 is: 63,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,547.67 : 147,822.32 = 42,383.89 : x
  2. Step 2: Convert to fraction form
    98,547.67/147,822.32 = 42,383.89/x
  3. Step 3: Cross multiply
    98,547.67x = 147,822.32 × 42,383.89
  4. Step 4: Simplify right side
    98,547.67x = 6,265,284,950.42
  5. Step 5: Solve for x
    x = 6,265,284,950.42/98,547.67
  6. Step 6: Final answer
    x = 63,576.19

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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.