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Finding the Fourth Proportional to 52,076.19, 77,657.02 and 51,602.58

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Solution

The fourth proportional to 52,076.19, 77,657.02 and 51,602.58 is: 76,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.19 : 77,657.02 = 51,602.58 : x
  2. Step 2: Convert to fraction form
    52,076.19/77,657.02 = 51,602.58/x
  3. Step 3: Cross multiply
    52,076.19x = 77,657.02 × 51,602.58
  4. Step 4: Simplify right side
    52,076.19x = 4,007,302,587.11
  5. Step 5: Solve for x
    x = 4,007,302,587.11/52,076.19
  6. Step 6: Final answer
    x = 76,950.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.