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Finding the Fourth Proportional to 59,049, 88,588.08 and 17,496

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Solution

The fourth proportional to 59,049, 88,588.08 and 17,496 is: 26,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,049 : 88,588.08 = 17,496 : x
  2. Step 2: Convert to fraction form
    59,049/88,588.08 = 17,496/x
  3. Step 3: Cross multiply
    59,049x = 88,588.08 × 17,496
  4. Step 4: Simplify right side
    59,049x = 1,549,937,047.68
  5. Step 5: Solve for x
    x = 1,549,937,047.68/59,049
  6. Step 6: Final answer
    x = 26,248.32

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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.