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Finding the Fourth Proportional to 34,352, 51,535.34 and 10,659.02

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Solution

The fourth proportional to 34,352, 51,535.34 and 10,659.02 is: 15,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352 : 51,535.34 = 10,659.02 : x
  2. Step 2: Convert to fraction form
    34,352/51,535.34 = 10,659.02/x
  3. Step 3: Cross multiply
    34,352x = 51,535.34 × 10,659.02
  4. Step 4: Simplify right side
    34,352x = 549,316,219.77
  5. Step 5: Solve for x
    x = 549,316,219.77/34,352
  6. Step 6: Final answer
    x = 15,990.81

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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.