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Finding the Fourth Proportional to 74,565.34, 102,900 and 41,031.34

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Solution

The fourth proportional to 74,565.34, 102,900 and 41,031.34 is: 56,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565.34 : 102,900 = 41,031.34 : x
  2. Step 2: Convert to fraction form
    74,565.34/102,900 = 41,031.34/x
  3. Step 3: Cross multiply
    74,565.34x = 102,900 × 41,031.34
  4. Step 4: Simplify right side
    74,565.34x = 4,222,124,886.00
  5. Step 5: Solve for x
    x = 4,222,124,886.00/74,565.34
  6. Step 6: Final answer
    x = 56,623.16

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