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Finding the Fourth Proportional to 74,581, 102,924 and 41,047

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Solution

The fourth proportional to 74,581, 102,924 and 41,047 is: 56,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,581 : 102,924 = 41,047 : x
  2. Step 2: Convert to fraction form
    74,581/102,924 = 41,047/x
  3. Step 3: Cross multiply
    74,581x = 102,924 × 41,047
  4. Step 4: Simplify right side
    74,581x = 4,224,721,428
  5. Step 5: Solve for x
    x = 4,224,721,428/74,581
  6. Step 6: Final answer
    x = 56,646.08

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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.