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Finding the Fourth Proportional to 113,470, 170,282.76 and 39,598

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Solution

The fourth proportional to 113,470, 170,282.76 and 39,598 is: 59,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,470 : 170,282.76 = 39,598 : x
  2. Step 2: Convert to fraction form
    113,470/170,282.76 = 39,598/x
  3. Step 3: Cross multiply
    113,470x = 170,282.76 × 39,598
  4. Step 4: Simplify right side
    113,470x = 6,742,856,730.48
  5. Step 5: Solve for x
    x = 6,742,856,730.48/113,470
  6. Step 6: Final answer
    x = 59,424.14

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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.