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Finding the Fourth Proportional to 74,663.08, 103,030.86 and 42,829

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Solution

The fourth proportional to 74,663.08, 103,030.86 and 42,829 is: 59,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,663.08 : 103,030.86 = 42,829 : x
  2. Step 2: Convert to fraction form
    74,663.08/103,030.86 = 42,829/x
  3. Step 3: Cross multiply
    74,663.08x = 103,030.86 × 42,829
  4. Step 4: Simplify right side
    74,663.08x = 4,412,708,702.94
  5. Step 5: Solve for x
    x = 4,412,708,702.94/74,663.08
  6. Step 6: Final answer
    x = 59,101.62

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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.