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Finding the Fourth Proportional to 97,597, 146,395.58 and 27,476.32

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Solution

The fourth proportional to 97,597, 146,395.58 and 27,476.32 is: 41,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,597 : 146,395.58 = 27,476.32 : x
  2. Step 2: Convert to fraction form
    97,597/146,395.58 = 27,476.32/x
  3. Step 3: Cross multiply
    97,597x = 146,395.58 × 27,476.32
  4. Step 4: Simplify right side
    97,597x = 4,022,411,802.67
  5. Step 5: Solve for x
    x = 4,022,411,802.67/97,597
  6. Step 6: Final answer
    x = 41,214.50

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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.