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Finding the Fourth Proportional to 55,130.48, 76,078.70 and 32,164.70

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Solution

The fourth proportional to 55,130.48, 76,078.70 and 32,164.70 is: 44,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,130.48 : 76,078.70 = 32,164.70 : x
  2. Step 2: Convert to fraction form
    55,130.48/76,078.70 = 32,164.70/x
  3. Step 3: Cross multiply
    55,130.48x = 76,078.70 × 32,164.70
  4. Step 4: Simplify right side
    55,130.48x = 2,447,048,561.89
  5. Step 5: Solve for x
    x = 2,447,048,561.89/55,130.48
  6. Step 6: Final answer
    x = 44,386.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.