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Finding the Fourth Proportional to 75,870.83, 113,851.80 and 31,492.95

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Solution

The fourth proportional to 75,870.83, 113,851.80 and 31,492.95 is: 47,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870.83 : 113,851.80 = 31,492.95 : x
  2. Step 2: Convert to fraction form
    75,870.83/113,851.80 = 31,492.95/x
  3. Step 3: Cross multiply
    75,870.83x = 113,851.80 × 31,492.95
  4. Step 4: Simplify right side
    75,870.83x = 3,585,529,044.81
  5. Step 5: Solve for x
    x = 3,585,529,044.81/75,870.83
  6. Step 6: Final answer
    x = 47,258.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.