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Finding the Fourth Proportional to 102,577.52, 153,886.20 and 39,393

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Solution

The fourth proportional to 102,577.52, 153,886.20 and 39,393 is: 59,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,577.52 : 153,886.20 = 39,393 : x
  2. Step 2: Convert to fraction form
    102,577.52/153,886.20 = 39,393/x
  3. Step 3: Cross multiply
    102,577.52x = 153,886.20 × 39,393
  4. Step 4: Simplify right side
    102,577.52x = 6,062,038,928.88
  5. Step 5: Solve for x
    x = 6,062,038,928.88/102,577.52
  6. Step 6: Final answer
    x = 59,097.15

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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.