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Finding the Fourth Proportional to 31,352.04, 47,034.54 and 10,575

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Solution

The fourth proportional to 31,352.04, 47,034.54 and 10,575 is: 15,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.04 : 47,034.54 = 10,575 : x
  2. Step 2: Convert to fraction form
    31,352.04/47,034.54 = 10,575/x
  3. Step 3: Cross multiply
    31,352.04x = 47,034.54 × 10,575
  4. Step 4: Simplify right side
    31,352.04x = 497,390,260.50
  5. Step 5: Solve for x
    x = 497,390,260.50/31,352.04
  6. Step 6: Final answer
    x = 15,864.69

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1.5x scale

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.