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Finding the Fourth Proportional to 86,837.60, 130,256.40 and 31,426.40

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Solution

The fourth proportional to 86,837.60, 130,256.40 and 31,426.40 is: 47,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,837.60 : 130,256.40 = 31,426.40 : x
  2. Step 2: Convert to fraction form
    86,837.60/130,256.40 = 31,426.40/x
  3. Step 3: Cross multiply
    86,837.60x = 130,256.40 × 31,426.40
  4. Step 4: Simplify right side
    86,837.60x = 4,093,489,728.96
  5. Step 5: Solve for x
    x = 4,093,489,728.96/86,837.60
  6. Step 6: Final answer
    x = 47,139.60

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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.