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Finding the Fourth Proportional to 97,716.60, 146,477.70 and 45,034.20

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Solution

The fourth proportional to 97,716.60, 146,477.70 and 45,034.20 is: 67,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,716.60 : 146,477.70 = 45,034.20 : x
  2. Step 2: Convert to fraction form
    97,716.60/146,477.70 = 45,034.20/x
  3. Step 3: Cross multiply
    97,716.60x = 146,477.70 × 45,034.20
  4. Step 4: Simplify right side
    97,716.60x = 6,596,506,037.34
  5. Step 5: Solve for x
    x = 6,596,506,037.34/97,716.60
  6. Step 6: Final answer
    x = 67,506.50

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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.