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Finding the Fourth Proportional to 98,609.10, 147,877.20 and 32,051.40

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Solution

The fourth proportional to 98,609.10, 147,877.20 and 32,051.40 is: 48,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,609.10 : 147,877.20 = 32,051.40 : x
  2. Step 2: Convert to fraction form
    98,609.10/147,877.20 = 32,051.40/x
  3. Step 3: Cross multiply
    98,609.10x = 147,877.20 × 32,051.40
  4. Step 4: Simplify right side
    98,609.10x = 4,739,671,288.08
  5. Step 5: Solve for x
    x = 4,739,671,288.08/98,609.10
  6. Step 6: Final answer
    x = 48,065.25

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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.