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Finding the Fourth Proportional to 78,045.04, 107,702.16 and 42,235.06

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Solution

The fourth proportional to 78,045.04, 107,702.16 and 42,235.06 is: 58,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,045.04 : 107,702.16 = 42,235.06 : x
  2. Step 2: Convert to fraction form
    78,045.04/107,702.16 = 42,235.06/x
  3. Step 3: Cross multiply
    78,045.04x = 107,702.16 × 42,235.06
  4. Step 4: Simplify right side
    78,045.04x = 4,548,807,189.73
  5. Step 5: Solve for x
    x = 4,548,807,189.73/78,045.04
  6. Step 6: Final answer
    x = 58,284.39

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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.