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Finding the Fourth Proportional to 65,038.80, 97,444.80 and 29,906.40

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Solution

The fourth proportional to 65,038.80, 97,444.80 and 29,906.40 is: 44,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.80 : 97,444.80 = 29,906.40 : x
  2. Step 2: Convert to fraction form
    65,038.80/97,444.80 = 29,906.40/x
  3. Step 3: Cross multiply
    65,038.80x = 97,444.80 × 29,906.40
  4. Step 4: Simplify right side
    65,038.80x = 2,914,223,166.72
  5. Step 5: Solve for x
    x = 2,914,223,166.72/65,038.80
  6. Step 6: Final answer
    x = 44,807.46

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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.