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Finding the Fourth Proportional to 98,365, 147,547.50 and 32,701

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Solution

The fourth proportional to 98,365, 147,547.50 and 32,701 is: 49,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,365 : 147,547.50 = 32,701 : x
  2. Step 2: Convert to fraction form
    98,365/147,547.50 = 32,701/x
  3. Step 3: Cross multiply
    98,365x = 147,547.50 × 32,701
  4. Step 4: Simplify right side
    98,365x = 4,824,950,797.50
  5. Step 5: Solve for x
    x = 4,824,950,797.50/98,365
  6. Step 6: Final answer
    x = 49,051.50

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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.