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Finding the Fourth Proportional to 97,477.60, 146,254.80 and 38,303.20

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Solution

The fourth proportional to 97,477.60, 146,254.80 and 38,303.20 is: 57,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,477.60 : 146,254.80 = 38,303.20 : x
  2. Step 2: Convert to fraction form
    97,477.60/146,254.80 = 38,303.20/x
  3. Step 3: Cross multiply
    97,477.60x = 146,254.80 × 38,303.20
  4. Step 4: Simplify right side
    97,477.60x = 5,602,026,855.36
  5. Step 5: Solve for x
    x = 5,602,026,855.36/97,477.60
  6. Step 6: Final answer
    x = 57,469.89

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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.