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Finding the Fourth Proportional to 78,077.51, 107,746.94 and 42,267.50

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Solution

The fourth proportional to 78,077.51, 107,746.94 and 42,267.50 is: 58,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.51 : 107,746.94 = 42,267.50 : x
  2. Step 2: Convert to fraction form
    78,077.51/107,746.94 = 42,267.50/x
  3. Step 3: Cross multiply
    78,077.51x = 107,746.94 × 42,267.50
  4. Step 4: Simplify right side
    78,077.51x = 4,554,193,036.38
  5. Step 5: Solve for x
    x = 4,554,193,036.38/78,077.51
  6. Step 6: Final answer
    x = 58,329.13

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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.