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Finding the Fourth Proportional to 65,696.96, 98,547.48 and 25,714.40

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Solution

The fourth proportional to 65,696.96, 98,547.48 and 25,714.40 is: 38,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696.96 : 98,547.48 = 25,714.40 : x
  2. Step 2: Convert to fraction form
    65,696.96/98,547.48 = 25,714.40/x
  3. Step 3: Cross multiply
    65,696.96x = 98,547.48 × 25,714.40
  4. Step 4: Simplify right side
    65,696.96x = 2,534,089,319.71
  5. Step 5: Solve for x
    x = 2,534,089,319.71/65,696.96
  6. Step 6: Final answer
    x = 38,572.40

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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.