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Finding the Fourth Proportional to 113,454, 170,258.76 and 39,582

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Solution

The fourth proportional to 113,454, 170,258.76 and 39,582 is: 59,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,454 : 170,258.76 = 39,582 : x
  2. Step 2: Convert to fraction form
    113,454/170,258.76 = 39,582/x
  3. Step 3: Cross multiply
    113,454x = 170,258.76 × 39,582
  4. Step 4: Simplify right side
    113,454x = 6,739,182,238.32
  5. Step 5: Solve for x
    x = 6,739,182,238.32/113,454
  6. Step 6: Final answer
    x = 59,400.13

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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.