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Finding the Fourth Proportional to 47,528, 65,586.40 and 26,017.32

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Solution

The fourth proportional to 47,528, 65,586.40 and 26,017.32 is: 35,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,528 : 65,586.40 = 26,017.32 : x
  2. Step 2: Convert to fraction form
    47,528/65,586.40 = 26,017.32/x
  3. Step 3: Cross multiply
    47,528x = 65,586.40 × 26,017.32
  4. Step 4: Simplify right side
    47,528x = 1,706,382,356.45
  5. Step 5: Solve for x
    x = 1,706,382,356.45/47,528
  6. Step 6: Final answer
    x = 35,902.68

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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.