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Finding the Fourth Proportional to 113,457, 170,263.26 and 39,585

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Solution

The fourth proportional to 113,457, 170,263.26 and 39,585 is: 59,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,457 : 170,263.26 = 39,585 : x
  2. Step 2: Convert to fraction form
    113,457/170,263.26 = 39,585/x
  3. Step 3: Cross multiply
    113,457x = 170,263.26 × 39,585
  4. Step 4: Simplify right side
    113,457x = 6,739,871,147.10
  5. Step 5: Solve for x
    x = 6,739,871,147.10/113,457
  6. Step 6: Final answer
    x = 59,404.63

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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.