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Finding the Fourth Proportional to 45,886.52, 63,317.76 and 27,020

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Solution

The fourth proportional to 45,886.52, 63,317.76 and 27,020 is: 37,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886.52 : 63,317.76 = 27,020 : x
  2. Step 2: Convert to fraction form
    45,886.52/63,317.76 = 27,020/x
  3. Step 3: Cross multiply
    45,886.52x = 63,317.76 × 27,020
  4. Step 4: Simplify right side
    45,886.52x = 1,710,845,875.20
  5. Step 5: Solve for x
    x = 1,710,845,875.20/45,886.52
  6. Step 6: Final answer
    x = 37,284.28

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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.