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Finding the Fourth Proportional to 53,603.84, 73,968.07 and 29,730

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Solution

The fourth proportional to 53,603.84, 73,968.07 and 29,730 is: 41,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,603.84 : 73,968.07 = 29,730 : x
  2. Step 2: Convert to fraction form
    53,603.84/73,968.07 = 29,730/x
  3. Step 3: Cross multiply
    53,603.84x = 73,968.07 × 29,730
  4. Step 4: Simplify right side
    53,603.84x = 2,199,070,721.10
  5. Step 5: Solve for x
    x = 2,199,070,721.10/53,603.84
  6. Step 6: Final answer
    x = 41,024.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.