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Finding the Fourth Proportional to 64,547.16, 96,820.74 and 22,965

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Solution

The fourth proportional to 64,547.16, 96,820.74 and 22,965 is: 34,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,547.16 : 96,820.74 = 22,965 : x
  2. Step 2: Convert to fraction form
    64,547.16/96,820.74 = 22,965/x
  3. Step 3: Cross multiply
    64,547.16x = 96,820.74 × 22,965
  4. Step 4: Simplify right side
    64,547.16x = 2,223,488,294.10
  5. Step 5: Solve for x
    x = 2,223,488,294.10/64,547.16
  6. Step 6: Final answer
    x = 34,447.50

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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.