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Finding the Fourth Proportional to 65,075.40, 97,397.10 and 47,255.40

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Solution

The fourth proportional to 65,075.40, 97,397.10 and 47,255.40 is: 70,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.40 : 97,397.10 = 47,255.40 : x
  2. Step 2: Convert to fraction form
    65,075.40/97,397.10 = 47,255.40/x
  3. Step 3: Cross multiply
    65,075.40x = 97,397.10 × 47,255.40
  4. Step 4: Simplify right side
    65,075.40x = 4,602,538,919.34
  5. Step 5: Solve for x
    x = 4,602,538,919.34/65,075.40
  6. Step 6: Final answer
    x = 70,726.25

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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.