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Finding the Fourth Proportional to 78,045.37, 107,702.94 and 42,235.38

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Solution

The fourth proportional to 78,045.37, 107,702.94 and 42,235.38 is: 58,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,045.37 : 107,702.94 = 42,235.38 : x
  2. Step 2: Convert to fraction form
    78,045.37/107,702.94 = 42,235.38/x
  3. Step 3: Cross multiply
    78,045.37x = 107,702.94 × 42,235.38
  4. Step 4: Simplify right side
    78,045.37x = 4,548,874,598.02
  5. Step 5: Solve for x
    x = 4,548,874,598.02/78,045.37
  6. Step 6: Final answer
    x = 58,285.00

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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.