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Finding the Fourth Proportional to 86,713.40, 130,094.40 and 42,341.60

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Solution

The fourth proportional to 86,713.40, 130,094.40 and 42,341.60 is: 63,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713.40 : 130,094.40 = 42,341.60 : x
  2. Step 2: Convert to fraction form
    86,713.40/130,094.40 = 42,341.60/x
  3. Step 3: Cross multiply
    86,713.40x = 130,094.40 × 42,341.60
  4. Step 4: Simplify right side
    86,713.40x = 5,508,405,047.04
  5. Step 5: Solve for x
    x = 5,508,405,047.04/86,713.40
  6. Step 6: Final answer
    x = 63,524.27

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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.