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Finding the Fourth Proportional to 97,715.60, 146,476.20 and 45,033.20

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Solution

The fourth proportional to 97,715.60, 146,476.20 and 45,033.20 is: 67,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,715.60 : 146,476.20 = 45,033.20 : x
  2. Step 2: Convert to fraction form
    97,715.60/146,476.20 = 45,033.20/x
  3. Step 3: Cross multiply
    97,715.60x = 146,476.20 × 45,033.20
  4. Step 4: Simplify right side
    97,715.60x = 6,596,292,009.84
  5. Step 5: Solve for x
    x = 6,596,292,009.84/97,715.60
  6. Step 6: Final answer
    x = 67,505.00

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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.