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Finding the Fourth Proportional to 65,734.60, 98,547.90 and 28,323.40

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Solution

The fourth proportional to 65,734.60, 98,547.90 and 28,323.40 is: 42,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.60 : 98,547.90 = 28,323.40 : x
  2. Step 2: Convert to fraction form
    65,734.60/98,547.90 = 28,323.40/x
  3. Step 3: Cross multiply
    65,734.60x = 98,547.90 × 28,323.40
  4. Step 4: Simplify right side
    65,734.60x = 2,791,211,590.86
  5. Step 5: Solve for x
    x = 2,791,211,590.86/65,734.60
  6. Step 6: Final answer
    x = 42,461.83

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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.