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Finding the Fourth Proportional to 102,032.40, 153,048.60 and 49,447.20

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Solution

The fourth proportional to 102,032.40, 153,048.60 and 49,447.20 is: 74,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032.40 : 153,048.60 = 49,447.20 : x
  2. Step 2: Convert to fraction form
    102,032.40/153,048.60 = 49,447.20/x
  3. Step 3: Cross multiply
    102,032.40x = 153,048.60 × 49,447.20
  4. Step 4: Simplify right side
    102,032.40x = 7,567,824,733.92
  5. Step 5: Solve for x
    x = 7,567,824,733.92/102,032.40
  6. Step 6: Final answer
    x = 74,170.80

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1.5x scale

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.