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Finding the Fourth Proportional to 64,987.63, 97,461.60 and 27,547

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Solution

The fourth proportional to 64,987.63, 97,461.60 and 27,547 is: 41,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,987.63 : 97,461.60 = 27,547 : x
  2. Step 2: Convert to fraction form
    64,987.63/97,461.60 = 27,547/x
  3. Step 3: Cross multiply
    64,987.63x = 97,461.60 × 27,547
  4. Step 4: Simplify right side
    64,987.63x = 2,684,774,695.20
  5. Step 5: Solve for x
    x = 2,684,774,695.20/64,987.63
  6. Step 6: Final answer
    x = 41,312.09

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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.