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Finding the Fourth Proportional to 65,015.84, 97,470 and 29,925.92

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Solution

The fourth proportional to 65,015.84, 97,470 and 29,925.92 is: 44,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.84 : 97,470 = 29,925.92 : x
  2. Step 2: Convert to fraction form
    65,015.84/97,470 = 29,925.92/x
  3. Step 3: Cross multiply
    65,015.84x = 97,470 × 29,925.92
  4. Step 4: Simplify right side
    65,015.84x = 2,916,879,422.40
  5. Step 5: Solve for x
    x = 2,916,879,422.40/65,015.84
  6. Step 6: Final answer
    x = 44,864.13

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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.