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Finding the Fourth Proportional to 113,655.54, 170,477.12 and 34,769.76

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Solution

The fourth proportional to 113,655.54, 170,477.12 and 34,769.76 is: 52,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,655.54 : 170,477.12 = 34,769.76 : x
  2. Step 2: Convert to fraction form
    113,655.54/170,477.12 = 34,769.76/x
  3. Step 3: Cross multiply
    113,655.54x = 170,477.12 × 34,769.76
  4. Step 4: Simplify right side
    113,655.54x = 5,927,448,547.89
  5. Step 5: Solve for x
    x = 5,927,448,547.89/113,655.54
  6. Step 6: Final answer
    x = 52,152.75

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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.