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Finding the Fourth Proportional to 124,064.64, 186,069.36 and 35,316.48

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Solution

The fourth proportional to 124,064.64, 186,069.36 and 35,316.48 is: 52,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,064.64 : 186,069.36 = 35,316.48 : x
  2. Step 2: Convert to fraction form
    124,064.64/186,069.36 = 35,316.48/x
  3. Step 3: Cross multiply
    124,064.64x = 186,069.36 × 35,316.48
  4. Step 4: Simplify right side
    124,064.64x = 6,571,314,831.05
  5. Step 5: Solve for x
    x = 6,571,314,831.05/124,064.64
  6. Step 6: Final answer
    x = 52,966.86

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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.