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Finding the Fourth Proportional to 65,354.32, 97,875.96 and 37,594

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Solution

The fourth proportional to 65,354.32, 97,875.96 and 37,594 is: 56,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.32 : 97,875.96 = 37,594 : x
  2. Step 2: Convert to fraction form
    65,354.32/97,875.96 = 37,594/x
  3. Step 3: Cross multiply
    65,354.32x = 97,875.96 × 37,594
  4. Step 4: Simplify right side
    65,354.32x = 3,679,548,840.24
  5. Step 5: Solve for x
    x = 3,679,548,840.24/65,354.32
  6. Step 6: Final answer
    x = 56,301.54

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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.