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Finding the Fourth Proportional to 102,330.16, 153,485.52 and 35,758

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Solution

The fourth proportional to 102,330.16, 153,485.52 and 35,758 is: 53,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,330.16 : 153,485.52 = 35,758 : x
  2. Step 2: Convert to fraction form
    102,330.16/153,485.52 = 35,758/x
  3. Step 3: Cross multiply
    102,330.16x = 153,485.52 × 35,758
  4. Step 4: Simplify right side
    102,330.16x = 5,488,335,224.16
  5. Step 5: Solve for x
    x = 5,488,335,224.16/102,330.16
  6. Step 6: Final answer
    x = 53,633.60

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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.