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Finding the Fourth Proportional to 94,872, 130,918.24 and 52,428

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Solution

The fourth proportional to 94,872, 130,918.24 and 52,428 is: 72,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,872 : 130,918.24 = 52,428 : x
  2. Step 2: Convert to fraction form
    94,872/130,918.24 = 52,428/x
  3. Step 3: Cross multiply
    94,872x = 130,918.24 × 52,428
  4. Step 4: Simplify right side
    94,872x = 6,863,781,486.72
  5. Step 5: Solve for x
    x = 6,863,781,486.72/94,872
  6. Step 6: Final answer
    x = 72,347.81

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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.