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Finding the Fourth Proportional to 53,064.84, 79,614.54 and 25,365

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Solution

The fourth proportional to 53,064.84, 79,614.54 and 25,365 is: 38,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,064.84 : 79,614.54 = 25,365 : x
  2. Step 2: Convert to fraction form
    53,064.84/79,614.54 = 25,365/x
  3. Step 3: Cross multiply
    53,064.84x = 79,614.54 × 25,365
  4. Step 4: Simplify right side
    53,064.84x = 2,019,422,807.10
  5. Step 5: Solve for x
    x = 2,019,422,807.10/53,064.84
  6. Step 6: Final answer
    x = 38,055.76

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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.